Question

Radii of two circles are 5m and 12m.Find the diameter of the circle whose area is equal to the sum of areas of the two circles.

Answer 1

Answer:

Area Of Circle A + Area of Circle B = Area of Circle C

πr² + πR² = Area Of Circle C

22/7 × 5 × 5 + 22/7 × 12 × 12 = area of C

78.5714285714 + 452.5714285714 = area of C

531.1428571428 = area Of C

531.1428571428 = πr²

531.1428571428 = 22/7 × r²

531.1428571428 × 7/22 = r²

169 = r²

√169 = r

13= r

d = 26