Question

If the area of the circular pathway is 352 sq.cm and the outer radius is 16 cm,find the inner radius.
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Answer 1

Answer:

12cm

Step-by-step explanation:

Given outer radius R = 16 cm Area of the circular pathway = πR2 = πr2 Area of the circular pathway = 352 sq. cm πR2 – πr2 = 352 cm2 π(R2 – r2) = 352 162 – r2 = 352×722352×722 162 – r2 = 16 x 7 162 – r2 = 112 162 – 112 = r2 r2 = (256 – 112) cm2 r2 = 144 cm2 r = 12 cm Inner radius r = 12cm