Question

Use pi = 3.14
Find the diameter of a circle whose area is 628 cm ₂

Answer 1

Hey There,

Here is your Answer :

Answer :

Diameter = 20√2 cm

Step By Step Explanation :

Given :

Area = 628 cm²

π = 3.14

To Find :

Diameter of Circle = ?

Formula :

Area of Circle = πr²

Diameter = 2r

Solution :

$area = \pi {r}^{2} \\ 628 \: {cm}^{2} = 3.14 \times {r}^{2} \\ {r}^{2} = \frac{628}{3.14} \\ {r}^{2} = 200 \\ r = \sqrt{200} \\ r = \sqrt{100 \times 2} \\ r = 10 \sqrt{2} \\ diameter = 2 \times r \\ d = 2 \times 10 \sqrt{2} \\ d = 20 \sqrt{2} \: cm$

Thanks ❤