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What is the area of a circle with a radius of 6 meters?

Question:

What is the area of a circle with a radius of 6 meters?

Area of a Circle:

The area of a circle is the measure of the region enclosed by the boundary of the circle. It can be calculated by using the formula:

{eq}A = \pi r ^ { 2 } {/eq}

where {eq}r {/eq} represents the radius of the circle.

Answer and Explanation:

Here, the radius of the circle is given as {eq}6 \ m. {/eq}

The area of the circle is calculated as:

{eq}A = \pi r ^ { 2 } \\ { A = \pi \times 6 ^ { 2 }= \pi \times 36= 3.14 \times 36= 113.09 \ m ^ { 2 }} {/eq}

Hence, the area of the circle is {eq}113.09 \ m ^ { 2 } {/eq}


Learn more about this topic:

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Circles: Area and Circumference

from Math 102: College Mathematics

Chapter 14 / Lesson 5
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