Question 1

1. Which of the following defines a sector of the circle?

Accepted Answer

It is the region bounded by an arc and the radius joining its endpoints.

Answer

It is the region bounded by an arc of the circle and the two diameters to the endpoints of the arc.

Answer

It is the region bounded by an arc and the segment joining its endpoints.

Answer

It is the region bounded by an arc of the circle and the two radii to the endpoints of the arc.

Question 2

2. Segment of a circle is similar to

Accepted Answer

crust of a pizza slice

Answer

half of a pizza

Answer

a pizza slice

Answer

whole pizza

Question 3

3. It is the area of the sector minus the area of the triangle.

Accepted Answer

area of a segment

Answer

area of a square

Answer

area of a sector

Answer

area of a circle

Question 4

4. Find the area of the sector of the circle on the right.

Accepted Answer

74.18 sq. cm

Answer

23.61 sq. cm

Answer

85.27 sq. cm

Answer

97.81 sq. cm

Question 5

5. Find the area of the segment formed by a central angle of 50º and a radius of 10 inches.

Accepted Answer

42.87 sq. in

Answer

20.33 sq. in

Answer

35.17 sq. in

Answer

64.18 sq. in

Question 6

6. How many points does a secant line intersect a circle?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 7

7. In ⨀P, which is a tangent line?

Accepted Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Question 8

8. In ⨀P, which segments are perpendicular?

Accepted Answer

$\overleftrightarrow{\mathrm{AC}}$ $\perp$ $\overline{\mathrm{BP}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$ $\perp$ $\overline{\mathrm{AD}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$ $\perp$ $\overline{\mathrm{AD}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$ $\perp$ $\overline{\mathrm{BP}}$

Question 9

9. How many tangent lines can be drawn from a given point on the circle?

Accepted Answer

1

Answer

more than 2

Answer

0

Answer

2

Question 10

10. If two segments from the same exterior point are tangent to a circle, then what are the measures of the two segments?

Accepted Answer

The measure of the segments is congruent.

Answer

The measure of one segment is greater than the other.

Answer

The measures of the two segments cannot be determined.

Answer

The measure of one segment is less than the other.

Question 11

For nos. 11-15, use the given figure.

In ⨀P, $\perp$ is tangent to the circle at B. $\overline{\mathrm{AD}}$ , $\overline{\mathrm{AH}}$ $\overline{\mathrm{CF}}$ and are secants

11. What is the measure of $\angle$ AHI?

Accepted Answer

$\overleftrightarrow{\mathrm{AC}}$ mEG

Answer

$\overleftrightarrow{\mathrm{AC}}$ mEH

Answer

$\overleftrightarrow{\mathrm{AC}}$ mHD

Answer

$\overleftrightarrow{\mathrm{AC}}$ mEB

Question 12

12. Give the measure of $\angle$ CAI.

Accepted Answer

$\overleftrightarrow{\mathrm{AC}}$ (𝑚𝐵𝐷̂ − 𝑚𝐵𝐽 ̂)

Answer

$\overleftrightarrow{\mathrm{AC}}$ (𝑚𝐵𝐺̂ − 𝑚𝐵𝐽 ̂)

Answer

$\overleftrightarrow{\mathrm{AC}}$ (𝑚𝐵𝐷̂ + 𝑚𝐵𝐽 ̂)

Answer

$\overleftrightarrow{\mathrm{AC}}$ mBD

Question 13

13. If m𝐵𝐷𝐻 = 210°and m𝐸𝐻̂ = 50°,what is the

measure of $\perp$ CAH?

Accepted Answer

50 $\angle$

Answer

155 $\angle$

Answer

80 $\angle$

Answer

130 $\angle$

Question 14

14. If m𝐽𝐸𝐻̂ = 150° and 𝑚𝐷𝐺̂ = 40°and find the measure of ∠𝐷𝐼𝐺?

Accepted Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Question 15

15. If 𝑚𝐵𝐸𝐻 ̂ = 240° and 𝑚𝐵𝐺̂ = 30° Determine the measure of ∠𝐵𝐶𝐺?

Accepted Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

Answer

$\overleftrightarrow{\mathrm{AC}}$

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