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Inscribed and Secants

Total questions: 12

Worksheet time: 12mins

Name
Class
Date
1.
Question Image

Match the following

finding the measures of the arcs.

a)
1.

104

b)
2.

76

c)
3.

180

d)
4.

284

e)
5.

256

2.
Question Image

Match the following with the measurement of the arcs.

a)
1.

23

b)
2.

203

c)
3.

113

d)
4.

337

e)
5.

157

3.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

4.

What is the measure of the missing angle in degrees?

5.

Solve for x. 

6.

Find the measure of arc AB.

7.

What is the area of the shaded region? Round to the nearest hundredth.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

8.

What is the area of the shaded sector?

a)

40π/9

b)

400π/9

c)

80π/9

d)

1600π/9

9.

Find the measure of the major arc ABC.

a)

180 degrees

b)

16 degrees

c)

164 degrees

d)

196 degrees

10.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

11.

Quadrilateral LOVE is inscribed in the circle as shown. If the measure of angle V = 140 degree, what is the measure of arc ELO?

a)

1400

b)

800

c)

2800

d)

400

12.

If a quadrilateral is inscribed in a circle, then its opposite angles are ___________.

a)

complementary

b)

supplementary

c)

congruent

d)

bisect