The radii of two circles are 15 cm and 8 cm.If the area of a third circle is equal to the sum of the areas of the two circles, then what will be the radius of the third circle?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 17 cm.
| Understanding/Application |
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Radius of first and second circle is 15 cm and 8 cm respectively. Let the radius of the third circle be r cm. Sum of area of first two circles is equal to the aea of the third circle. |
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Area of two circles = π(R12 + R22) = π(152 + 82) = π(225 + 64) = π(289) ATQ - π(289) = πr2 r2 = 289 r = 17 cm |