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Surface Areas And Volumes

Question
CBSEENMA10008643
Wired Faculty App

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles. 

Solution

Let the radius of the required circle be R and radii of two given circles be r1 and r2, then according to question.
πR2 = πr12 + πr22
⇒    πR2 = (r12 + r22)
⇒    R2 = 64 + 36
⇒    R2 = 100
⇒    R = 10 cm.

Some More Questions From Surface Areas and Volumes Chapter

The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?

Tick the correct answer in the following: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
(A) 2 units    (D) π units
(C) 4 units    (D) 7 units.

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