A circle has an area of 2464 sq. cm. Find its circumference (in cm)
Answers
Answer:
Hey there!
Given, Area of circle = 2464 sqrt.cms
We know that,
Area of circle = πr² .
We will first find out radius and then find circumference.
So,
➜πr²= 2464
➜ r² = 2464 * 7/22
➜r² = 784
➜ r = 28 cm
Now, circumference of the circle = 2πr = 2 (22/7)(28) = 2(22)(4) = 88(2) = 176cm .
Therefore, The circumference of the circle is 176 cms
GIVEN:
Area of a cricle = 2464cm²
TO FIND:
Circumference of the circle
SOLUTION:
To find the circumference of circle, we should find the radius of circle first.
We know that,
Area of a circle = πr²
==> πr² = 2464
==> 22/7 × r² = 2464
==> r² = 2464 × 7/22
==> r² = 112 × 7
==> r² = 784
==> r = √784
==> r = 28cm
Radius of the circle = 28cm
Circumference of circle = 2πr
= 2 × 22/7 × 28
= 44 × 4
= 176cm
Therefore, the circumference of circle is 176cm.