Question

Find the arc length of a partial circle

Answer 1

23.55 or
`(15)/(2)`π

Explanation:

The arc is 75% of the full circumference, as the cut away angle is 90º.

To find the arc length, you multiply the ratio of the whole circle that remains by the circumference:
`(270)/(360)`×π×2(5)=
`(15)/(2)`π, or 23.55 if you round pi to 3.14.

Answer 2

7.85

Explanation:

Solve this by using the formula for arc length with central angle in degrees.

Do this by identifying the formula and plugging in the given values. The formula for arc length is
`arc length = 2\pi r ((theta)/(360) )` , where the theta is represented by the central angle and r is the radius

The radius is shown on the circle is 5 and the theta (angle in degrees) is 90, represented by the tiny square in the middle.

Plug it all into the formula. Your equation should now look like this: arc length = 2 (3.14 or
`\pi`) (5) (
`(90)/(360)`)

Solve for arc length and enter your answer as a decimal or in terms of pi