Question

1.(a) the radii of two circles are 8cm and 6cm respectively. find the radius of the circle having its area equal to the sum of the areas of the two areas
b) find the area of circle inscribed in an square of side of 14cm.​

Answer 1

Answer:

ans1. 10 cm

ans2. 154cm^2

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Answer 2

Answer:

a. 10cm

b. 154 cm²

Step-by-step explanation:

a. let radius of smaller circle be R1, and let radius of smaller circle be R2

Area of circle with R1 radius = πr² =36π cm²

Area of circle with R2 radius = πr² =64π cm²

Sum of 2 areas = 100π cm²

Radius of circle of area 100π cm² = √(100π/π) = 10 cm

b. Since the circle is inscribed in the square, diameter of circle = side of square = 14 cm

hence, radius = 7cm

area of this circle = πr² = 7*7*22/7 cm² = 154 cm²

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