Question

the radii of two circles are in the ratio 5:7 find the ratio between their circumference
the answer should be 3/5 with explanation

Answer 1

The ratio between their circumference and area is 5: 7 and 25:49 respectively.

Step-by-step explanation:

The ratio between the radii of two circles is 5 : 7

Let the ratio be x

Radius of circle 1 = 5x

Area of circle 1 =$\pi r^2 = \frac{22}{7} \times (5x)^2πr$

Radius of circle 2 = 7x 5

Area of circle 2 = $\pi r^2 = \frac{22}{7} \times$

So, ratio of their areas =$\frac{\frac{22}{7} \times (5x)^2}{\frac{22}{7} \times (7x)^2} = \frac{25}{49}$

Circumference of circle 1 = 2 $\pi r = 2 \times \frac{22}{7} \times 5x2πr=2×$ Circumference of circle 2 = $2\pi r = 2 \times \frac{22}{7} \times 7x2πr=2×$

ratio of their circumferences =$\frac{2 \times \frac{22}{7} \times 5x}{2 \times \frac{22}{7} \times 7x} = \frac{5}{7}$

Hence the ratio between their circumference and area is 5: 7 and 25:49 respectively.

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The circumferences of two circles are in the ratio 5:7,find the ratio between their radii

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