Question

On area and circumference (perimeter) of circle the area of a circle is 2464 cm ^2.Find its diameter and perimeter.
$(take \: \pi = \frac{22}{7} .)$

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Answer 1

πr²=Area=2464
r²=2464/π
r²=2464×7/22
r=✓784=28cm

diameter=2r=2×28=56cm

circumference or perimeter =2πr=2×22/7×28 =176cm

Answer 2

(i)

Given, Area of circle = 2464 cm^2.

⇒ πr^2 = 2464

⇒ (22/7) * r^2 = 2464

⇒ 22 * r^2 = 2464 * 7

⇒ 22 * r^2 = 17248

⇒ r^2 = 784

⇒ r = √784

⇒ r = 28.

We know that Diameter = 2r

                                        = 2 * 28

                                        = 56 cm.

(ii)

We know that Circumference of a circle = Perimeter of a circle = 2πr

⇒ 2 * (22/7) * 28

⇒ 2 * 22 * 4

⇒ 176 cm.

Therefore:

⇒ Diameter = 56 cm.

⇒ Perimeter = 176 cm.

Hope it helps!