Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.
[tex]Area = \pi r^{2}[/tex]
Since the radius of the circle is 4.7 inches, we can plug 4.7 in for the radius in our formula.
[tex]Area = (\pi) (4.7 in.)^{2}[/tex]
Remember that 4.7 in.² is equal to 4.7 inches × 4.7 inches or 22.09 in.².
[tex]Area = 22.09\pi in.^{2}[/tex]
Now, remember that pi is approximately equal to 22/7 or 3.14. This means that we can estimate the area of the circle by plugging in 3.14 for pi.
[tex]Area = (22.09) (3.14)[/tex]
Area = 69.36 in.²
Now, let's find the circumference of the circle. To find the circumference of a circle, start with the formula for the circumference.
Circumference = 2πr
Notice that our radius is 4.7 inches which means we can plug in 4.7 inches for the radius in our formula.
Circumference = (2) (π) (4.7 in)
Circumference = 9.4π inches
Answer:
Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
We have r = 4.7 in.
Substitute:
[tex]C=2\pi(4.7)=9.4\pi\ in[/tex]
[tex]\pi\approx3.14\to C\approx(9.4)(3.14)=29.516\ in\approx29.52\ in[/tex]
[tex]A=\pi(4.7)^2=22.09\pi\ in^2[/tex]
[tex]\pi\approx3.14\to A\approx(22.09)(3.14)=69.3626\ in^2\approx69.36\ in^2[/tex]
