What is the area of a circle?

The area is calculated using the formula A = πr² where r is the radius of the circle.

How is circle circumference calculated?

The circumference of a circle is calculated using the formula C = 2πr.

r = 5m

Radius (r)5 m

Diameter (d)10 m

Circumference31.42 m

Area78.54 m²

Radius (r)5m

115

CIRCLE

A circle is a set of all points in a plane that are at a given distance (radius) from a given point (center).

A = \pi r^2 \quad \text{and} \quad C = 2 \pi r

Step 1

We are given a circle with a radius of $r = 5$ m.

r = 5

Step 2

The diameter of a circle is twice the radius.

d = 2r = 2 \times 5 = 10

Step 3

The circumference (boundary perimeter) is calculated by multiplying 2, Pi, and the radius.

C = 2 \pi r = 2 \pi \times 5 \approx 31.42

Step 4

The area of a circle is calculated by multiplying Pi by the square of the radius.

A = \pi r^2 = \pi \times 5^2 \approx 78.54

Step 5

The area of a semicircle is exactly half of the total area of the circle.

A_{\text{semi}} = \frac{1}{2} \pi r^2 = \frac{1}{2} \times \pi \times 5^2 \approx 39.27