Question

find the radii of the circles whose area are. 1. 616 sq.m 2. 308 sq.m.

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Answer 1

Answer:

1. 14 m

2. 7√2 m

Step-by-step explanation:

Area of circle = π(r)²

(i) 616 = 22/7 * r²

-> r² = 616 * 7 / 22

-> r² = 28 * 7 = 2*2*7*7 = 2² * 7²

-> r = ± √(2² * 7²) = + 14 [since side can't be negative]

Therefore, radius of the circle is 14 m.

(ii) 308 = 22/7 * r²

-> r² = 308*7/22

-> r² = 14*7 = 2*7*7 = 2*7²

-> r = ± √(2*7²) = ± 7√2 [since side can't be negative]

Therefore, radius of the circle is 7√2 m.

Hope it Helps!!