Question

Find the circumference and area of a circle with a diameter of 10 inches.

Answer 1

$\text{First, lets find the circumference of a circle}\\\\\text{The equation to find this is:}\,\,c=2\pi(r)\,\,or\,\,c=\pi(d)\\\\\text{Lets use the second equation, plug in and solve:}\\\\c=\pi(10)\\\\c=31.4159265359\\\\\text{Round to the nearest hundredths}\\\\\boxed{\text{Circumference = 31.42 in}}\\\\\text{Area:}\\\\\text{The equation to find the area is:}\,\,a=\pi(r)^2\\\\\text{Half of 10 is 5, so that's our radius}\\\\\text{Plug in and solve:}\\\\a=\pi(5)^2\\\\a=\pi(25)$

$a= 78.5398163397\\\\\text{Round to the nearest hundredths}\\\\\boxed{\text{Area: 78.54 in}^2}$

Answer 2

Answer:

Area: 78.54 (rounded 78.5) Circumference: 31.416 (rounded 31.42)

Step-by-step explanation

Area: A=3.14xr²          (r=radius)

to find the radius you divide the diameter by two or split it in half

Circumference: C=3.14xd           (d=diameter)

to find the diameter you multiply the radius by two or double it