Question

17. The perimeter of a square and the circumference of a circle are equal. If the length
of each side of the square is 22 cm, find :

(iii) radius of the circle.
​

Answer 1

The answer to your question is 14 cm

Answer 2

Given that,

• Side of the square = 22cm

• Perimeter of the square = Circumference of the circle

Let's find the perimeter of the square,

• Perimeter of the square = 4(side) = 4 (22 cm) = 88 cm

Therefore, perimeter of the square is 88 cm & Circumference of the circle is also 88 cm.

⇒ Circumference of the circle = 2πr = 88 cm

⇒ 2πr = 88 cm

⇒ r = 88×7/2×22

⇒ r = 7 cm

Therefore, the radius of the circle is 7cm.

Hope this helps you.

Thank you for your question.

Mark me as Brainleist.