CIA 4 Study Guide

∠DGF has a total angle measure of 88°. ∠DGE is (4y + 7.5)° and ∠FGE is (4y + 0.5)°. What is the measure of ∠DGE?

• 47.5°

• 45°

• 57.5°

• 55°

∠AGB = 3x - 18° and ∠BGE = 7x + 3°, find the measure of ∠AGB and ∠BGE.

What is the measure in the figure below?

• ∠QRT = 15 and ∠TRS = 165

• ∠QRT = 15 and ∠TRS = 75

• ∠QRT = 45 and ∠TRS = 90

• ∠QRT = 45 and ∠TRS = 135

Find y.

• y = 5

• y = 6

• y = 9

• y = 8

The figure below shows 2 angles that are complementary. Find the value of x and the measure of each angle.

• x = 10, angles are 40° and 50°

• x = 19, angles are 79° and 11°

• x = 12, angles are 48° and 42°

• x = 13, angles are 52° and 38°

A pond has a radius of 24 feet. A walkway is 4 feet away from the pond at all points. What is the circumference of the walkway?

• 56 feet

• 176 feet

• 168 feet

• 152 feet

A circle is divided into 18 equal parts. What is the measure of each angle within that circle?

• 10 degrees

• 20 degrees

• 30 degrees

• 40 degrees

What is the diameter of a circle given the circumference of the circle is 56.52 ft?

• 18 ft

• 20 ft

• 16 ft

• 22 ft

What is the radius of a circle given the circumference of the circle is 87.92 ft?

• 12 ft

• 14 ft

• 16 ft

• 10 ft

You are covering a circular pool for the winter. The top of the pool is 131.88 ft around. What is the least amount of tarping needed to completely cover the top of the pool?

• 414 sq ft

• 1385 sq ft

• 1385 sq ft

• 5550 sq ft