Question

Circle A has a center of (4,6) and a radius of 5, and circle B has a center of (1,0) and a radius of 15. What steps will help show circle A is similar to circle B?

Answer 1

For me, this is a strange question...

Any two circles are similar.

Step-by-step explanation:

When two figures are similar, they have the same shape, and the ratios of the lengths of their corresponding sides (segments) are equal.

Two circles have the same shape.

The radiuses are corresponding segments and the diameters are corresponding segments. The ratio of lengths radiuses and diameters are equal.

If you want calculate it, then.

Circle A: r₁ = 5, d₁ = (2)(5) = 10

Circle B: r₂ = 15, d₂ = (2)(15) = 30

r₂/r₁ = 15/5 = 3

d₂/d₁ = 30/10 = 3

r₂/r₁ = d₂/d₁