what is the area of the cookie that remained?

Question

sophia purchased a giant chocolate chip cookie for her birthday. the radius of the cookie is 7 inches. it was so rich that she was only able to eat a sector of the cookie with a central angle of 100 degrees.

Answer 1

The total central angle of a cookie/circle is 360°. If you ate 100° that would be like eating 100/360 of the total cookie. Therefore 260/360 is still remaining. Area of a circle is π * r². The area still remaining is 260/360 * π * r².

Answer 2

260/360 * pi * 7^2 = 13/18 * 22/7 * 49 = 111 and 2/9