#  >> K-12 >> Mathematics

How do you find the perimeter of a quadrant?

To find the perimeter of a quadrant of a circle, you'll need to consider one-fourth of the circumference of the full circle plus the lengths of the two radii that form the sides of the quadrant. Let's denote the radius of the circle as 'r'.

1. Circumference of Quadrant:

- The circumference of the entire circle is given by the formula 2πr, where π ≈ 3.14.

- Since we're considering a quadrant, which is one-fourth of the circle, its circumference will be 1/4th of the full circumference: Circumference of Quadrant = (1/4) * 2πr = πr/2

2. Length of Radii:

- There are two radii that form the sides of the quadrant.

- The length of each radius is equal to the circle's radius, which is 'r'.

3. Total Perimeter:

- To find the perimeter of the quadrant, we sum up the circumference of the quadrant and the two radii lengths:

Perimeter of Quadrant = πr/2 + r + r = πr/2 + 2r

Therefore, the perimeter of a quadrant of a circle is given by πr/2 + 2r, where 'r' represents the radius of the full circle.

Learnify Hub © www.0685.com All Rights Reserved