Learn Math Questions
from a handpicked tutor in LIVE 1-to-1 classes
from a handpicked tutor in LIVE 1-to-1 classes
What is the area of a sector with a central angle of 160 degrees and a diameter of 5.8m?
Solution:
Given central angle of a circle is 160 degrees
Diameter of circle is 5.8cm
We know that radius is half of diameter, r= d/2 = 5.8/2 = 2.9cm
A sector of a circle is defined as the portion of a circle that is enclosed between its two radii and the arc adjoining them.
We have formula for finding the area of a sector of a circle is given by
Area = 1/2 × r2θ, where, θ is the angle subtended at the center, in radians, and r is the radius of the circle.
Area = 1/2 × (2.9)(2.9)(160°)
Area = 1/2 × 1345.6
Area = 672.8 sq.m
The area of a sector of given circle is 672.8 sq.m
What is the area of a sector with a central angle of 160 degrees and a diameter of 5.8m?
Summary:
The area of a sector with a central angle of 160 degrees and a diameter of 5.8m is 672.8 sq.m
Math worksheets and
visual curriculum
visual curriculum