Question 1

In a circle, if the radius is

r

and the chord is at a distance

d

from the center, which of the following expressions gives the length of the chord?

Accepted Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Question 2

If two chords

r

and

d

intersect inside a circle at point

P

, what is the relationship between the segments

AP 	imes PB

and

CP 	imes PD

?

Accepted Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Question 3

What is the measure of the angle subtended by an arc at the center of a circle if the angle subtended by the same arc at any point on the remaining part of the circle is

r

?

Accepted Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Question 4

In a circle, if the diameter is

r

, what is the area of the circle?

Accepted Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Question 5

In a circle with radius

r

, what is the length of an arc that subtends a central angle of

d

radians?

Accepted Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Question 6

If two tangents are drawn to a circle from an external point and these tangents touch the circle at points

r

and

d

, what is true about the lengths of

P

and

AP 	imes PB

?

Accepted Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Question 7

What is the measure of an angle in a semicircle?

Accepted Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Answer

2\sqrt{r^2 - d^2}

Question 8

In a circle, the perpendicular from the center to a chord bisects the chord. If the length of the chord is

r

units and the perpendicular distance from the center to the chord is

d

units, what is the radius of the circle?

Accepted Answer

2\sqrt{r^2 - d^2}

units

Answer

2\sqrt{r^2 - d^2}

units

Answer

2\sqrt{r^2 - d^2}

units

Answer

2\sqrt{r^2 - d^2}

units

Question 9

In a circle, if two chords

r

and

d

are equal in length, what can be said about their distance from the center of the circle?

Accepted Answer

The chords are equidistant from the center.

Answer

The chords are unequal in distance from the center.

Answer

The distance of a chord from the center depends on the radius.

Answer

One chord is closer to the center than the other.

Question 10

If the circumference of a circle is

r

units, what is the radius of the circle?

Accepted Answer

10 units

Answer

20 units

Answer

15 units

Answer

5 units

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