Luas tembereng pada gambar di samping adalah..... A. 3,5 cm² B. 3,6 cm² C. 3,8 cm² D. 6,3 cm²

~Mapel : Matematika~
~~Bab : Lingkaran(Tembereng)~

Sudut pusat = 90 derajat karena sudut siku siku

L juring = 90/360 × 22/7 × 3,5 × 3,5
L juring = 1/4 × 38,5
L juring = 9,625 cm^2

L Segitiga = 1/2 × a × t
L segitiga = 1/2 × 3,5 × 3,5
L segitiga = 6,125 cm^2

L Tembereng = L juring - L Segitiga
L Tembereng = 9,625 - 6,125
L Tembereng = 3,5 cm^2

(A)

● L tembereng
= luas juring AOB - luas segitiga AOB

● L juring
= sudut AOB / 360° x luas lingkaran
= 90° / 360° x phi r²
= 1/4 x 22/7 x 3,5 x 3,5
= 1/4 x 22/2 x 3.5
= 1/4 x 11 x 3.5
= 9,6 cm²

● L segitiga
= 1/2 a.t
= 1/2 3.5 x 3.5
= 1/2 12,25
= 6,1 cm²

● L tembereng
= luas juring - luas segitiga
= 9,6 - 6,1
= 3,5 cm² (A)