Geometry B, Assignment 12. Circles: Area of Sectors
What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot?
0.25 π sq. ft.
An equilateral triangle with side of 2√3 is inscribed in a circle. What is the area of one of the sectors formed by the radii to the vertices of the triangle?
1.33 π sq. in.
What part of the circumference is an arc whose measure is 30°?
1/12
A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground?
11.56π inches
What is the radius of a circle in which a 30° arc is 2π inches long?
12 inches
What is the area of a sector with radius 10" and measure of arc equal to 45°?
12.5π sq. in.
In a circle of radius 10 cm, a sector has an area of 40π sq. cm. What is the degree measure of the arc of the sector?
144*
Find the length of an arc of 40° in a circle with an 8 inch radius.
16π/9 inches
A square with sides of 3√2 is inscribed in a circle. What is the area of one of the sectors formed by the radii to the vertices of the square?
2.25π
If the length of an arc is 12π inches and the radius of the circle is 10 inches, what is the measure of the arc?
216 degrees
A 10" diameter pumpkin pie is cut into six equal servings. What is the area of the top of each piece of pie?
4.17 π inches
What is the area of a sector with radius equal to 8 and measure of arc equal to 300°?
53.3π
What is the radius of a circle with a sector area of 7 π sq. ft. and an arc whose measure is 70°?
6 feet
What is the degree measure of an arc 4π ft. long in a circle of radius 10 ft.?
72*
How is the area of a semicircle found?
Take half the area of the whole circle.