Question

Find the circumference and area of the adjacent circle. Use the pi key for pi.(Type an integer or decimal rounded to the nearest tenth as needed.)

Answer 1

The given circle has a diameter of d=4.2 m.

It is required to find the circumference and area of the circle.

Recall the formula for the circumference of a circle with diameter, d:

`C=\pi d`

Substitute d=4.2 into the formula:

`C=\pi(4.2)\approx13.2\text{ m}`

The radius of a circle is one-half of the diameter. It follows that:

`r=(d)/(2)=(4.2)/(2)=2.1\text{ m}`

Recall that the area of a circle with radius, r is given as:

`A=\pi r^2`

Substitute r=2.1 into the formula:

`A=\pi(2.1)^2=4.41\pi\approx13.9\text{ m}^2`

The circumference is about 13.2 m.

The area is about 13.9 m².