Circles
Circumferences of Circles
Areas of Circles
Perimeters and Areas of Composite Figures
Interior Angles of Triangles and Quadrilaterals
Angles and Angle Pairs
Finding Unknown Angle Measures
100
The radius of a circle is ______ of the diameter.
Half
100
List the two circumference formulas.
100
What is the area formula for a circle?
100
Find the perimeter. (Ignore the 4.)
34 yards
100
a) The sum of the measures of the interior angles of a triangle is _________.
b) The sum of the measures of the interior angles of a quadrilateral is _________.
a) 180 degrees
b) 360 degrees
100
Two angles whose measures add up to 90 degrees are called ________ angles.
Complementary
100
Classify the pair of angles. Then find the value of x.
The angles are vertical angles.
x = 110
200
The diameter of a circle is ________ the radius.
Two times or twice
200
A circle has a radius of 5 in. Using 3.14 for pi, find the circumference.
approximately 31.4 in
200
Find the area of a circle with diameter of 26 in. Use 3.14 for pi.
approximately 530.66 square inches
200
Find the area. (Ignore the 4.)
37 square yards
200
Is it possible to draw a triangle with the angle measurements below? Justify your answer.
36 degrees, 42 degrees, and 102 degrees
Yes. The angle measures add up to 180 degrees.
200
Two angles whose measures add up to 180 degrees are called ________ angles.
Supplementary
200
Classify the pair of angles. Then find the value of x.
The angles are adjacent and supplementary.
x = 148 degrees
(32 + x = 180)
300
What is the radius of a circle with a diameter of 16 cm?
8 cm
300
A circular swimming pool has a diameter of 14 ft. What is the circumference of the pool? Use 3.14 for pi.
approximately 43.96 ft
300
Find the area of a circle with a radius of 6 ft. Use 3.14 for pi.
approximately 113.04 square feet
300
Find the perimeter. (Ignore the 5.)
Think... Is 8 units the measurement of the radius or the diameter of the semicircle?
approximately 82.24 units
300
Is it possible to draw a quadrilateral with the angle measurements below? Justify your answer.
54 degrees, 41 degrees, 103 degrees, and 152 degrees
No. The angle measures add up to 350 degrees. They should add up to 360 degrees.
300
Two angles that are "next to" each other are called ________ angles. They share a common vertex and a common side.
Adjacent
300
Classify the pair of angles. Then find the value of x.
The angles are adjacent and complementary.
x = 18
(2x + 3x = 90)
400
What is the diameter of a circle with a radius of 2.6 m?
5.2 m
400
A semicircle has a radius of 15 in. What is the perimeter of the semicircle? Use 3.14 for pi.
approximately 77.1 inches
400
Find the area of a semicircle with a diameter of 5 yd. Use 3.14 for pi.
approximately 9.8125 square yards
400
Find the area. (Ignore the 5.)
Think... Is 8 units the measurement of the radius or the diameter of the semicircle?
approximately 456.96 square units
400
A triangle has interior angles measuring 36 degrees and 92 degrees. What is the measure of the third interior angle?
52 degrees
400
Two angles that are "across from" each other on opposite sides of the vertex are called _______ angles. They are formed by the same two intersecting lines.
Vertical
400
Write an equation to find the value of x. Then find the MEASURES of both angles.
Equation: 7x + (8x + 120) = 180
Angle measures: 28 degrees and 152 degrees
(Since x = 4, plug 4 in for x in both angles.)
500
A semi-circle is ______ of a circle.
Half
500
The wheels of a monster truck are 66 inches tall. Find the distance the monster truck travels when the tires make three 360-degree rotations. Use 3.14 for pi.
(One 360-degree rotation = One full turn of the wheel)
approximately 621.72 in
500
A local event planner wants to cover a circular region with mud for an obstacle course. The region has a radius of 25 feet. The cost to cover 1 square foot with mud is $1.50. Approximate the cost to cover the region with mud. Use 3.14 for pi.
about $2943.75
500
The dimensions of a basketball court are shown below. A fence is to be built around the court and bleachers. The fence costs $8.99 per foot. How much will it cost to install the fence?
$3685.90
500
A quadrilateral has interior angles measuring 62 degrees, 54 degrees, and 140 degrees. What is the measure of the third interior angle?
104 degrees
500
Vertical angles always have the _____ ______.
Same measure
500
Find the measure of angle WUX.
42 degrees
(Since 7x + 8x = 90, then x = 6. Angle WUX is vertical to angle TUS, so they have the same measure.)