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The radii of two circles are 8 cm and 6 cm find the radius of circle having its area equal to sum of the areas of two circles?
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The radii of two circles are 8 cm and 6 cm find the radius of circle h...
Calculation of the radius of the circle:

Given data:
- Radius of first circle (r1) = 8 cm
- Radius of second circle (r2) = 6 cm

Calculating the areas of the circles:
- Area of first circle = π * (r1)^2 = π * (8)^2 = 64π cm²
- Area of second circle = π * (r2)^2 = π * (6)^2 = 36π cm²

Finding the total area of the two circles:
- Total area = Area of first circle + Area of second circle
- Total area = 64π + 36π = 100π cm²

Calculating the radius of the third circle:
- Area of the third circle = Total area of the two circles
- π * (r3)^2 = 100π
- (r3)^2 = 100
- r3 = √100
- r3 = 10 cm
Therefore, the radius of the circle having its area equal to the sum of the areas of the two given circles is 10 cm.
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The radii of two circles are 8 cm and 6 cm find the radius of circle having its area equal to sum of the areas of two circles?
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