The radio of two circles are 8cm and 6cm respectively. find the radius of the circle having area equal to the sum of the areas of these two circles.
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Q. The radii of two circles are 8cm and 6cm respectively. find the radius of the circle having area equal to the sum of the areas of these two circles.
Answer:
Area of first circle = π × 8² = 64 π cm²
Area of second circle = π × 6² = 36 π cm²
Let radius of required circle be x cm.
A.T.Q.,
π × x² = 64π + 36π
=> π x² = 100 π
=> x² = 100
=> x = √100
.°. x = 10 cm Answer
Therefore, the radius is 10 centimetre.
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