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Lesson 5 Practice Problems
Problem Statement
A given circle has radius 6 units. For each arc length, nd the area of a sector of this circle with that arc length.
a. 5 units b. 10 units c. units
d. units
Solution
a. 15 square units b. 30 square units
c. square units d. square units
Problem Statement
Clare has a rectangular cut-out that measures 5 inches by 4 inches. Han has a cut-out of a sector with radius 5 inches and arc length 4 inches. Whose cut-out is larger? Show your reasoning.
Solution
Clare’s cut-out is larger. Clare’s cut out has an area of 20 square inches, but Han’s cut-out has an area of only 10 square inches.
Problem Statement
Angle has a measure of units. What is the area of sector
Solution
square units
radians. The length of arc is units and the radius is 12 ?
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Teacher Guide