Roboguru

Amati gambar di bawah ini. Tentukan keliling dan luas daerah yang diarsir.

Pertanyaan

Amati gambar di bawah ini.
Tentukan keliling dan luas daerah yang diarsir.


Pembahasan Soal:

Diketahui:

table attributes columnalign right center left columnspacing 0px end attributes row cell jari minus jari space lingkaran end cell equals cell 5 space cm end cell row cell sisi space persegi end cell equals cell 10 space cm end cell end table 

Mencari Keliling:

table attributes columnalign right center left columnspacing 0px end attributes row cell Jumlah space semua space sisi end cell equals cell 5 cross times 4 equals 20 space cm end cell row cell Kll space 1 fourth lingkaran end cell equals cell 1 fourth 2 πr end cell row blank blank cell 1 fourth cross times 2 cross times 3 comma 14 cross times 5 end cell row blank equals cell 7 comma 85 space cm space end cell row cell Kll space 3 over 4 space lingkaran end cell equals cell 1 fourth 2 πr end cell row blank blank cell 3 over 4 cross times 2 cross times 3 comma 14 cross times 5 end cell row blank equals cell 23 comma 55 space cm end cell row blank blank blank row cell Keliling space seluruhnya end cell equals cell jumlah space semua space sisi plus Kll space 1 fourth lingkaran end cell row blank blank cell plus Kll space 3 over 4 space lingkaran end cell row blank equals cell 20 space cm plus 7 comma 85 space cm plus 23 comma 55 space cm end cell row blank equals cell 51 comma 4 space cm end cell end table 

Mencari Luas:

table attributes columnalign right center left columnspacing 0px end attributes row cell straight L space persegi end cell equals cell straight s cross times straight s end cell row blank equals cell 10 cross times 10 end cell row blank equals cell 100 space cm squared end cell row cell straight L space 3 over 4 space lingkaran end cell equals cell 3 over 4 πr squared end cell row blank equals cell 3 over 4 cross times 3 comma 14 cross times 5 squared end cell row blank equals cell 58 comma 875 space cm squared end cell row cell straight L space 1 fourth space lingkaran end cell equals cell 1 fourth πr squared end cell row blank equals cell 1 fourth cross times 3 comma 14 cross times 5 squared end cell row blank equals cell 19 comma 625 space cm squared end cell row blank blank blank row cell Luas space total end cell equals cell straight L space persegi plus straight L 3 over 4 lingkaran minus straight L 1 fourth lingkaran end cell row blank equals cell 100 space cm squared plus 58 comma 875 space cm squared minus 19 comma 625 space cm squared end cell row blank equals cell 139 comma 25 space cm squared end cell end table 

Jadi, keliling dan luas daerah yang diarsir berturut-turut adalah 51 comma 4 space cm space dan space 139 comma 25 space cm squared.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 05 Mei 2021

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved