Question

Find the area of a circle having a circumference of 23 units. Round to the nearest tenth.

Answer 1

Answer:

$42.1\ units^2$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is

$C=2\pi r$

we have

$C=23\ units$

assume

$\pi =3.14$

substitute the given values and solve for r

$23=2(3.14) r$

$r=23/6.28$

$r=3.66\ units$

step 2

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=3.66\ units$

$\pi =3.14$

substitute

$A=(3.14)(3.66)^{2}$

$A=42.1\ units^2$