Question

The diameter of a circle is 5 in. Find its area to the nearest hundredth.

Answer 1

19.63 in²

Explanation:

Given:

`\text{Diameter of circle: 5 inches}`

Determine the radius of the circle:

The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.

• ⇒ Diameter/2 = Radius
• ⇒ 5 inches/2 = Radius
• ⇒ 2.5 inches = Radius

Determining the area of the circle:

The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.

• ⇒ πr² = Area of circle
• ⇒ π(2.5)² = Area of circle

Simplify the square of 2.5:

• ⇒ π(2.5)(2.5) = Area of circle
• ⇒ 6.25π = Area of circle

Replace π with 3.14 (Approx.):

• ⇒ 6.25(3.14) = Area of circle
• ⇒ 19.625 in² = Area of circle

Furthermore, the question said to round to nearest hundredth...

⇒ 19.63 in² = Area of circle