Kelsey is given a circle with a radius of 5 cm. She calculates the area of a sector that has an angle of 216°
and provides the solution of 3π cm2
. What was her mistake?
Option #1: She incorrectly calculated 216°360°
.
Option #2: She forgot to square the radius.
Option #3: She calculated the circumference instead of the area.
The correct answer is Option #1: She incorrectly calculated 216°360°.
To find the area of a sector of a circle, you need to use the formula A = (θ/360) * π * r^2, where θ is the angle in degrees. In this case, Kelsey should have calculated (216/360) * π * 5^2 = 3π/2 cm^2, not 3π cm^2. She mistakenly used the wrong angle in her calculation.