Question

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

Answer 1

Answer:

Diameter = 14 cm

Circumference = 44 cm

Step-by-step explanation:

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

$\pi {r}^{2} = 154 \\ {r}^{2} = \frac{154}{\pi} \\ r = \sqrt{ \frac{154}{\pi} } \: cm$

$Diameter = 2r \\ = 2 \sqrt{ \frac{154}{3.142} } \\ ≈ 14 \: cm$

$Circumference = πd \\ = 14\pi \\ = 14 \times 3.142 \\ = 43.988 \\ ≈ 44 \: cm$