2buah lingkaran salah satu lingkaran berjari'' 5cm. jika pnjng garis singgung persekutuan dlm ke2 lingkaran tsb 12cm, & jarak ke2 titik pusat 15cm, maka pnjng jari'' yg lainnya adalah...
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R = 5 cm
D = 12 cm
P = 15 cm
dit : R ?
Dijawab :
(r+R)² = P² - D²
(r+5)² = 15² - 12²
(r+5)² = 225 - 144
r+5 = √81
r = 9 - 5
r = 4 CM
Jadi panjang jari2 yng lain = 4 cm
dua lingkaran
r1 = 5 cm
d = 12 cm
s = 15cm
Dit: r2....?
(r1+r2)² = s² - d²
(r1+r2)² = 15² - 12²
(r1+r2)² = 225 - 144
(r1+r2)² = 81
(r1+r2) = √81
(r1+r2) = 9
(5+r2) = 9
r2 = 9 - 5
r2 = 4 cm
jadi panjang jari2 lingkaran yg lain = 4 cm