Question

if the area of a circle is 154 cm square find its diameter

Answer 1

Diameter is 14cm
A = pie x r x r
22/7 x r x r = 154
r x r = 49
r = 7
D =14
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Answer 2

Given:

The area of a circle is 154 cm²

To find:

The diameter of the circle.

Formula to be used:

Area of circle = πr²

Solution:

The area of a circle is 154 cm²

Diameter =  2 × Radius

We can find the radius of the circle by using the following formula,

Area of circle = πr²

πr² = 154

$\frac{22}{7}$ × r² = 154

r² = 154 × $\frac{7}{22}$

r² = 7 × 7

r² = 7²

radius = 7 cm

Therefore,

Diameter = 2 × 7

Diameter = 14 cm

Final answer:

The diameter of the circle is 14 cm