Question

Calculate the area and circumference of a circle with diameter 8cm explain by step by step

Answer 1

the area is about 50.26548

the circumference is about 25.13274

Explanation:

Divide the diameter by 2 to get the radius (4)

Then use this equation to find the area A=\pi r^{2}

A=\pi 4^{2}

A=16\pi

A= about 50.26548

Then use this equation to find the circumference C=\pi d

C=8\pi

C= about 25.13274

Answer 2

Area = 50.24 cm^2

Circumference = 25.12 cm

Explanation:

To calculate the area and circumference of a circle with a diameter of 8cm, you can follow these steps:

Recall that the diameter of a circle is the distance across the circle passing through its center. In this case, the diameter is given as 8cm.

Recall that the radius of a circle is half of its diameter. To find the radius, you can divide the diameter by 2:

radius = diameter/2

radius = 8cm/2

radius = 4cmTo calculate the area of a circle, use the formula:

area = πr^2

where π is the mathematical constant pi (approximately 3.14) and r is the radius.

Substituting the values we have:

area = 3.14 x (4cm)^2

area = 3.14 x 16cm^2

area = 50.24cm^2

Therefore, the area of the circle with diameter 8cm is 50.24 square centimeters.

To calculate the circumference of a circle, use the formula:

circumference = 2πr

where π is again the mathematical constant pi and r is the radius.

Substituting the values we have:

circumference = 2 x 3.14 x 4cm

circumference = 25.12cm

Therefore, the circumference of the circle with diameter 8cm is 25.12 centimeters.