find the area and the circumference of a circle with radius 9m. use the value 3.14, and do not round your answers. be sure to include the correct units in your answers.
If the radius is 9m, the diameter is 18m, so the circumference is 18pi, or 56.52 meters.
To find the area, use the formula r^2pi to get 81pi, or 254.34.
Area of circle is 254.34 \(m^{2}\), circumference of a circle is 56.52 m.
The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle.
Area of circle = \(\pi r^{2}\)
The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Circumference of a circle = 2\(\pi\)r
Given
Radius of circle = 9m
The circumference of a circle = 2\(\pi\)r
C = 2\(\pi\)(9)
C = 2 × 3.14 × 9
C = 56.52 m
Area of circle = \(\pi r^{2}\)
A = 3.14 × \(9^{2}\)
A = 254.34 \(m^{2}\)
Hence, area of circle is 254.34 \(m^{2}\), circumference of a circle is 56.52 m.
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