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Q.

Find the diameter of a circle whose circumference is equal to the sum of the circumference of the two circles of diameter 36 m and 20 m.


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a

42 cm

b

56 cm

c

24 cm

d

22 cm 

answer is B.

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Detailed Solution

Assume that C is a circle with a diameter of d. As a result, the circumference of circle C is d. Assume C1 and C2 are two circles with diameters d1=36 and d2=20, respectively. As a result, the circumference of circle C1 is d1=36 and that of circle C2 is d2=20. Now we will apply the given condition that the circumference of circle C equals the sum of the circumferences of circles C1 and C2 with diameters of 36 m and 20 m, respectively. Therefore, we can write πs=πd1+πd2 
Cancelling π from both sides, we get
d=d1+d2
⇒d=36+20 ⇒d=56  Hence, the diameter of the required circle is 56m.
 
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