Question

the difference between areas of two circles is 462 sq. units and the sum of their circumference is 132 units.Find the radius of each circle.​

Answer 1

Answer:

Hey mate, here is your answer. Hope it helps!!

Answer 2

Answer:

circumference of circle1+ circumference of circle2=132cm

2πR + 2πr = 132cm

2π (R+r)=132

R+r = 132x7/44

R+r = 21cm

R = 21-r (equation 1)

area of circle1 + area of circle2 = 462cm

πR² - πr² = 462

π(R² - r²) = 462

R²-r² = 462x7/22

R²- r² = 147

(21 - r)²-r² = 147 (R = 21- r )

21² + r² - 2x21xr - r² = 147

441 + r²- 42r - r² = 147

- 42r = 147-441

r = 294/42

r = 7 cm

so radius of circle 2 = 7cm

from equation 1

R = 21 - r

R = 21 - 7

R = 14cm

and radius of circle 1 = 14 cm

R = 21 - r