Question

The radii of two circles are 19cm and 9cm respectively. Find the radius and area of the circle which has its circumference equal to the sum of the circumferences of the two circles..

Answer 1

Step-by-step explanation:

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Answer 2

Radius = 28 cm

Area = 2464 sq. cm.

Step-by-step explanation:

Radius of circle r1 = 19cm

Circumference of circle = 2πr1 = 2π(19)  ---- (1)

Radius of other circle r2 = 9cm

Circumference of other circle = 2πr2 = 2π(9)  ---- (2)

 Circumference of the unknown circle = 2π(19) + 2π(9) = 2π(28)  cm

Therefore radius = circumference / 2π = 2π(28)/2π = 28 cm

Area = πr²

    = 22/7 * 28 * 28

    = 2464 sq. cm.