Question

A circle has a diameter of 12 inches. Find its exact and approximate circumference and area.

Answer 1

STEP 1:

We write out the formulas and the necessary values

`\begin{gathered} \text{Area of circle =}\pi r^2 \\ \text{circumference of circle = 2}\pi r \\ \text{radius =}(diameter)/(2)=(12)/(2)=6\text{ inches} \end{gathered}`

STEP 2

We substitute the values into the formula

`\begin{gathered} \text{Area of the circle = 3.14 x 6 x 6} \\ Exactvalue=113.04\text{ square inches and Approx}imate\text{ value =113} \\ \text{circumference of the circle= 2 x 3.14 x6} \\ Exactvalue=37.68\text{ inches and approx}imate\text{ value = 38inches} \\ \end{gathered}`