Circumference and Arc Length
Area of Circles and Sectors
Area of Polygons
Population Density
Review Material
100
Find the diameter of a circle with a circumference of 63 feet
20.05ft
100
Find the area of a circle with a diameter of 20 feet
314ft2
100
What is the apothem of polygon JKLMN?
PQ
100
The state of Kansas has a population of about 2.85 million people. Find the population density in people per square mile.
about 34 people per mi2
200
Convert 300° to radians.
(5pi)/3 radians
200
Find the areas of the sectors formed by ∠DFE.
about 937.31 m2 ; about 1525.70 m2
200
Find the area of rhombus.
70 square units
200
About 650,000 people live in a circular region with a 6-mile radius. Find the population density in people per square mile.
about 5747 people per mi2
200
Find the value of x that makes △DEF ∼ △XYZ.
x = 4
300
A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. The wheel makes 87 complete revolutions along the length of the path. How many feet long is the path?
182 ft
300
The area of the shaded sector is shown. Find the indicated measure.
about 66.04 cm2
300
Find the measure of a central angle of a regular polygon with 7 sides.
about 51.4°
300
About 79,000 people live in a circular region with a population density of about 513 people per square mile. Find the radius of the region.
about 7 mi
400
What is the perimeter of the region?
About 20.57 units
400
For $20, you can buy two 16-inch diameter flatbreads or four 10-inch diameter flatbreads at a restaurant. Which option provides more flatbread?
Two 16-inch diameter flatbreads
400
Find the area of the regular polygon.
A decagon with an apothem of 6.2 units
about 124.90 square units
400
One measure of rug quality is knot density. Higher-quality rugs have a greater knot density. The rug shown is made of 345,600 knots.
a.) Find the knot density per square inch.
b.) Another rug is 3 feet by 4 feet and is made of 604,800 knots. Which is the better-quality rug? Explain.
a. 400 knots/in2
b. rug in part (a); This rug has a knot density of 350 knots/in2 , which is less than 400 knots/in2
400
Given ABCD, EBGF, and HJKD are parallelograms. Prove ∠2 ≅ ∠3
1.) Given
2.) <1 = <2, <3 = <4, <1 = <4 Parallelogram Opposite Angles Theorem
3.) ∠2 ≅ ∠4 Transitive Property of Congruence
4.) ∠2 ≅ ∠3 Transitive Property of Congruence
500
Find the circumference of the circle represented by the given equation. Write the circumference in terms of pi.
x2 + y2 = 16
8pi
500
Find the area of the shaded region.
about 1696.46 m22
500
Find the area of the shaded region.
about 117.92 square units
600
You measure your distance from the base of the Citrus Tower and the angle of elevation from the ground to the top of the tower. Find the height h of the Citrus Tower.
about 225.69 ft