find the radius of a circle whose area is equal to the sum of the areas of four other circles of radii 5m 6m 8m and 10m
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Given, area of the circle =sum of the area of the circles of radii 5m,6m,8m and 10m.
therefore, sum of the area of the four circles
= π x 5²+ π x 6²+ π x 8²+π x 10²m²
=22/7 x25 +22/7 x 36 + 22/7 x 64 + 22/7 x 100 m²
=707.142857143 m²
therefore, Area of the circle = 707.142857143
=> π x r² = 707.142857143
=> 22/7 x r² = 707.142857143
=> r² = 707.14285714x7/22
=> r² = 225
=> r =√225
therefore , r = 15m.
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