AnswersGCS 2023-2024 Math 3 Credit RecoveryArea of a Circle and a Sector

Area of a Circle and a Sector — Unit test Answers

15 verified answers
1
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is tangent to circle P at point Q.

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A
37°
B
53°
C
90°
D
97°
2
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In circle O, and are diameters. Arc ED measures 17°.

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A
107°
B
180°
C
253°
D
270°
3

In quadrilateral QRST, measures (5x+15)°. Angle TQR measures (4x+3)°.

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A
15°
B
75°
C
105°
D
165°
4

A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

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A
75 in.2
B
151 in.2
C
1809 in.2
D
7235 in.2
5

Angle K measures 67º and angle L measures 119°.

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A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
6

Given: Circle O; intercepts ; D intercepts Prove:

Question illustration
A
inscribed angles theorem
B
third corollary to the inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
formed by a tangent and a chord is half the measure of the intercepted arc.
Option D
7

Circle O has a circumference of approximately 28.3 cm.

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A
4.5 cm
B
9.0 cm
C
14.2 cm
D
28.3 cm
8

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH.m∠DFE = 80°. What is the measure of arc ?°

Answer not available
9

Consider circle C with angle ACB measuring radians.

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A
6 inches
B
12 inches
C
18 inches
D
24 inches
10

UV and RV are secant segments that intersect at point V.

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A
1 unit
B
1 units
Option B
C
2 units
Option C
D
3 units
11

Triangle BCD is isosceles and BC ≅ BD.

Question illustration
A
100°
B
120°
C
130°
D
160°
12

In circle O, MP is a diameter.

Question illustration
A
139°
B
145°
C
151°
D
174°
13

Which circle shows that measures 60°?

Question illustration
A
Circle O is shown. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.
Option A
B
Circle O is shown. Line segment A is a tangent and line segment B is a secant. The angle between lines A and B is 60 degrees.
Option B
C
Circle O is shown. Line segments A O and B O are radii. Angle A O B is 60 degrees.
Option C
D
Circle O is shown. Line segment A Y is a secant. Line Y B is a diameter. Angle A Y B is 60 degrees.
Option D
14

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

A
8
B
9
C
10
D
12
15

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.

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