Question

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Answer 1

Answer:

9π cm²

Step-by-step explanation:

The area of a square = s² where s is the measure of the side.

Here area = 36 cm², thus

s² = 36 ( take the square root of both sides )

s = $\sqrt{36}$ = 6

Since the circle is inscribed in the square.

Then it has a diameter of 6 cm, thus a radius of 3 cm

The area (A) of a circle is calculated as

A = πr² = π × 3² = 9π cm²

Answer 2

Answer:

Step-by-step explanation:

SIDE OF THE SQUARE = 6 cm = DIAMETER OF THE CIRCLE.

AREA OF THE CIRCLE = (Pi/4)*6^2 = [(22/7)/4]*36 = 22*9/7 = 28.2857 sqcm

or

First, find the side length of the square. (Find the square root of 36 cm^2, to get 6 cm as the side length of the square).

Second, find the radius of the circle inside the square. The side length of the square is the diameter of the circle. Radius is half of the diameter. So, half of 6 cm is 3 cm; this is the radius of the circle.

Third, find the area of the circle by using the formula, A = pi x radius x radius

so, Area = 3.14 x 3 cm x 3 cm

by calculation we get the area of the circle is 28.26 cm^2

Where pi is a constant of 22/7 or 3.14