Question

Find the area of a quarter circle with the radius of 6cm

Answer 1

28.27cm³

Explanation:

Area of a circle:

`A=\pi r^2`

First, find the area of a full circle with this given radius:

`\rightarrow A=(3.14159)(6)^2\\\rightarrow A=(3.14159)(36)\\\rightarrow A=113.09734\\`

Now, to find the radius of a quarter circle with the same radius, just divide by 4:

`\rightarrow A = (113.09734)/(4)\\\rightarrow A = 28.27433`

The radius of the quarter circle is about 28.27cm³