Question

Find the area of a circle with a circumference of \blueD{31.4}31.4start color blueD, 31, point, 4, end color blueD units.

Answer 1

Answer:

The area of the circle is $78.5\ units^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=31.4\ units$

assume

$\pi=3.14$

substitute the values

$31.4=2(3.14)r$

$r=31.4/[2(3.14)]=5\ units$

step 2

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

substitute the values

$A=(3.14)(5)^{2}$

$A=78.5\ units^{2}$

Answer 2

Answer:

78.5

Step-by-step explanation: