MATH SOLVE

3 months ago

Q:
# Which statements are true regarding the area of circles and sectors? Check all that apply. a. The area of a circle depends on the length of the radius. b. The area of a sector depends on the ratio of the central angle to the entire circle. c. The area of a sector depends on pi. d. The area of the entire circle can be used to find the area of a sector. e. The area of a sector can be used to find the area of a circle.

Accepted Solution

A:

Answer:The correct options are a,b.Step-by-step explanation:The area of sector of a circle equalsArea of a sector = [tex]\theta r^{2}[/tex]where [tex]\theta[/tex] is the angle subtended at the center by the sector[tex]r[/tex] is the radius of circleThis indicates that area of the sector depends on:1) Radius of circle2) Angle subtended at the center by the sector3) Area of sector does not depend on pi.Also if we know the area of the sector only we cannot calculate area of area of whole triangle as we need one more information either angle of the sector and vice versa.