Question

Here is a circle touching a square.

The area of the square is 36 cm?

Work out the area of the circle.

Give your answer in terms of it.

Answer 1

Answer:

Area of the circle is 9πcm²

Step-by-step explanation:

For a circle touching a square, the diameter of the circle will be equivalent to the length of the square.

Note that area of the square= L²

Given the area of a square to be 36cm²

36 = L²

$L = \sqrt{36} \\L = 6cm$

The length of the square is 6cm.

Since the length of the square = diameter of the circle

Diameter of the circle = 6cm

Using the formula for finding the area of a circle = $\frac{\pi d^{2} }{4}$

Area of the circle = $\frac{\pi (6)^{2} }{4}$

Area of the circle = 36π/4

area of the circle is 9πcm²