Question

If the diameter of a circle becomes three times, its circumference becomes………​

Answer 1

Step-by-step explanation:

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CBSE

Mathematics

Grade 8

Circles

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Related Questions

If the radius of a circle is increased by 3 times then the diameter increases by __ times.

A. 4

B. 6

C. 3

D. 8

Answer

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Hint: We can use the relation diameter is 2 times the radius. Then we can take the new radius as 3 times the initial radius. We can apply this new radius in the above relation to get the new diameter. Compare it with the initial diameter to get the required ratio.

Complete step by step answer:

Given, the radius of a circle is increased by 3 times.

Let us assume that r is the radius of the circle. Then its diameter twice the radius. It is given by,

d=2r… (1)

Now the radius has increased by 3 times. Let the new radius be r′. So, we can write,

r′=3r… (2)

Let the new diameter be d′. As the diameter is twice the radius, we can write,

d′=2r′

Using equation (2), we get,

d′=2(3r)⇒d′=6r

Now we can apply equation (1)

⇒d′=3×d