Question

If the area of a circle is 154 cm square then find the diameter and circumference​

Answer 1

Diameter = 14 cm

Circumference = 44 cm

Explanation:

1. Area of circle = πr²
2. Diameter = 2r
3. Circumference = 2πr = πd
4. π ≈ 3.142

`\pi {r}^(2) = 154 \\ {r}^(2) = (154)/(\pi) \\ r = \sqrt{ (154)/(\pi) } \: cm`

`Diameter = 2r \\ = 2 \sqrt{ (154)/(3.142) } \\ ≈ 14 \: cm`

`Circumference = πd \\ = 14\pi \\ = 14 * 3.142 \\ = 43.988 \\ ≈ 44 \: cm`