Prita P

04 Oktober 2023 14:04

Iklan

Prita P

04 Oktober 2023 14:04

Pertanyaan

Berapakah luas daerah yang di arsir?

Berapakah luas daerah yang di arsir?

alt

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

02

:

22

:

53

:

46

Klaim

1

2

Jawaban terverifikasi

Iklan

Evelyn E

04 Oktober 2023 21:13

Jawaban terverifikasi

<p>Semoga membantu&nbsp;</p>

Semoga membantu 

alt

Iklan

Rendi R

Community

05 Oktober 2023 01:14

Jawaban terverifikasi

<p>1. luas yang di arsir (gambar sebelah kiri)</p><p>&nbsp;</p><p>Diameter lingkaran besar = 10cm + 15cm + 10cm = 36cm (r = 1/2D = 18cm)</p><p>luas lingkaran besarnya = ๐žน r<sup>2</sup> (karena r bukan kelipatan 7 maka menggunakan ๐žน 3,14)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3,14 x (18)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3,14 x 324</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 1017,36 cm<sup>2</sup></p><p>karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 1017,36 cm<sup>2 </sup>= <strong>508,68 cm<sup>2</sup> (A)</strong></p><p>&nbsp;</p><p>Luas lingkaran kecil dengan D=16cm (r = 1/2D = 8cm) = ๐žน r<sup>2</sup> (karena r bukan kelipatan 7 maka menggunakan ๐žน 3,14)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3,14 x (8)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3,14 x 64</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 200,96 cm<sup>2</sup>&nbsp;</p><p>karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 200,96 cm<sup>2 </sup>= <strong>100,48 cm<sup>2</sup> (B)</strong></p><p>&nbsp;</p><p>jadi luas yang di arsir pada gambar sebelah kiri = A-B</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>508,68 cm<sup>2</sup> - 100,48cm<sup>2</sup></strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>408,2 cm<sup>2</sup></strong></p><p>&nbsp;</p><p>==================================================</p><p>2. luas yang di arsir (gambar tengah)</p><p>&nbsp;</p><p>Diameter lingkaran besar = 28cm (r = 1/2D = 14cm)</p><p>luas lingkaran besarnya = ๐žน r<sup>2</sup> (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 x (14)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 x &nbsp;14 x 14</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 616 cm<sup>2</sup></p><p>karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 616 cm<sup>2 </sup>= <strong>308 cm<sup>2</sup> (A)</strong></p><p>&nbsp;</p><p>Luas lingkaran kecil dengan D= (1/2 lingkaran besar) = 1/2x28cm = 14cm (r = 1/2D = 7cm) = ๐žน r<sup>2</sup> (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 x (7)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 22/7 x &nbsp;7 x 7</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= &nbsp;154 cm<sup>2</sup>&nbsp;</p><p>karena ada 2 buah &nbsp;1/2 lingkaran maka luas nya adalah berupa luas 1 lingkaran<sup> </sup>= <strong>154 cm<sup>2</sup> (B)</strong></p><p>&nbsp;</p><p>jadi luas yang di arsir pada gambar sebelah kiri = A-B</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>308cm<sup>2</sup> - 154cm<sup>2</sup></strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>154 cm<sup>2</sup></strong></p><p>&nbsp;</p><p>==================================================</p><p>3. &nbsp;luas yang di arsir (gambar sebelah kanan)</p><p>&nbsp;</p><p>Diameter lingkaran besar = 28cm (r = 1/2D = 14cm)</p><p>luas lingkaran besarnya = ๐žน r<sup>2</sup> (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 x (14)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 x &nbsp;14 x 14</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 616 cm<sup>2</sup></p><p>karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 616 cm<sup>2 </sup>= <strong>308 cm<sup>2</sup> (A)</strong></p><p>&nbsp;</p><p>Luas lingkaran kecil dengan D= (1/2 lingkaran besar) = 1/2x28cm = 14cm (r = 1/2D = 7cm) = ๐žน r<sup>2</sup> (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 22/7 x (7)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 22/7 x &nbsp;7 x 7</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= &nbsp;154 cm<sup>2</sup>&nbsp;</p><p>karena berupa &nbsp;1/2 lingkaran maka luas nya &nbsp;jadi 1/2nya = 1/2 x 154 cm<sup>2 </sup>= <strong>77 cm<sup>2</sup> (B)</strong></p><p>&nbsp;</p><p>jadi luas yang di arsir pada gambar sebelah kiri = A-B</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>308cm<sup>2</sup> - 77cm<sup>2</sup></strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <strong>231cm<sup>2</sup></strong></p><p>&nbsp;</p>

1. luas yang di arsir (gambar sebelah kiri)

 

Diameter lingkaran besar = 10cm + 15cm + 10cm = 36cm (r = 1/2D = 18cm)

luas lingkaran besarnya = ๐žน r2 (karena r bukan kelipatan 7 maka menggunakan ๐žน 3,14)

                                                  = 3,14 x (18)2

                                                  = 3,14 x 324

                                                  = 1017,36 cm2

karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 1017,36 cm2 = 508,68 cm2 (A)

 

Luas lingkaran kecil dengan D=16cm (r = 1/2D = 8cm) = ๐žน r2 (karena r bukan kelipatan 7 maka menggunakan ๐žน 3,14)

                                                = 3,14 x (8)2

                                                 = 3,14 x 64

                                                 = 200,96 cm2 

karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 200,96 cm2 = 100,48 cm2 (B)

 

jadi luas yang di arsir pada gambar sebelah kiri = A-B

                                                = 508,68 cm2 - 100,48cm2

                                                = 408,2 cm2

 

==================================================

2. luas yang di arsir (gambar tengah)

 

Diameter lingkaran besar = 28cm (r = 1/2D = 14cm)

luas lingkaran besarnya = ๐žน r2 (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)

                                                  = 22/7 x (14)2

                                                  = 22/7 x  14 x 14

                                                  = 616 cm2

karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 616 cm2 = 308 cm2 (A)

 

Luas lingkaran kecil dengan D= (1/2 lingkaran besar) = 1/2x28cm = 14cm (r = 1/2D = 7cm) = ๐žน r2 (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)

                                                = 22/7 x (7)2

                                                 = 22/7 x  7 x 7

                                                 =  154 cm2 

karena ada 2 buah  1/2 lingkaran maka luas nya adalah berupa luas 1 lingkaran = 154 cm2 (B)

 

jadi luas yang di arsir pada gambar sebelah kiri = A-B

                                                = 308cm2 - 154cm2

                                                = 154 cm2

 

==================================================

3.  luas yang di arsir (gambar sebelah kanan)

 

Diameter lingkaran besar = 28cm (r = 1/2D = 14cm)

luas lingkaran besarnya = ๐žน r2 (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)

                                                  = 22/7 x (14)2

                                                  = 22/7 x  14 x 14

                                                  = 616 cm2

karena berupa 1/2 lingkaran maka luas nya jadi 1/2nya = 1/2 x 616 cm2 = 308 cm2 (A)

 

Luas lingkaran kecil dengan D= (1/2 lingkaran besar) = 1/2x28cm = 14cm (r = 1/2D = 7cm) = ๐žน r2 (karena r adalah kelipatan 7 maka menggunakan ๐žน 22/7)

                                                = 22/7 x (7)2

                                                 = 22/7 x  7 x 7

                                                 =  154 cm2 

karena berupa  1/2 lingkaran maka luas nya  jadi 1/2nya = 1/2 x 154 cm2 = 77 cm2 (B)

 

jadi luas yang di arsir pada gambar sebelah kiri = A-B

                                                = 308cm2 - 77cm2

                                                = 231cm2

 


Mau pemahaman lebih dalam untuk soal ini?

Tanya ke Forum

Biar Robosquad lain yang jawab soal kamu

Tanya ke Forum

Roboguru Plus

Dapatkan pembahasan soal ga pake lama, langsung dari Tutor!

Chat Tutor

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

Pertanyaan serupa

Roda mobil berbentuk ... a. Lingkaran b. Segi empat c. Segi tiga

120

5.0

Jawaban terverifikasi