Geometry Unit 8 Test Review

A point is on a circle if the distance from the center of the circle to the point is equal to the

• area

• circumference

• radius

• diamter

Line segments MP and ML are perpendicular chords in circle O. MP = 10 and ML = 24.
Which statements about circle O are true? Select three options.
HINT:   $a^2+b^2=c^2$  

• The radius of circle O is 13.

• The diameter of circle O is 34.

• LP is a diameter of circle O.

• <LMP intercepts a semicircle.

• The measure of arc LP is 90 degree.

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53 degrees.

What is the measure of angle BCD?

• 37 degrees

• 53 degrees

• 74 degrees

• 106 degrees

In circle C, r = 32 units.

What is the area of circle C?

HINT:   $A=\pi r^2$  

• $32\pi$ square units

• $64\pi$ square units

• $256\pi$ square units

• $1024\pi$ square units

Circle O has a circumference of

 $36\pi$ cm.
What is the length of radius, $r$ ?
HINT:   $C=2\pi r=\pi d$  

• 6 cm

• 18cm

• 36 cm

• 72 cm

A ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

HINT:   $C=2\pi r=\pi d$  

• 1,978 feet

• 659 feet

• 3,956 feet

• 132 feet

Consider circle Y with radius 3 m and central angle XYZ measuring 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
HINT:  $\Theta=\left(x\degree\right)\left(\frac{\pi}{180}\right)$  

HINT:   $s=\Theta r$  

• 1.8 meter

• 3.7 meters

• 15.2 meters

• 18.8 meters

AD and MN are chords that intersect at point B.

What is the length of segment MN?
HINT:   $\left(AB\right)\left(BD\right)=\left(MB\right)\left(BN\right)$  

• 4 units

• 6 units

• 24 units

• 18 units

What is the value of x?

HINT:   $\left(EC\right)\left(ED\right)=\left(EB\right)\left(EA\right)$  

• 2

• 3

• 6

• 7

Line segments XY and ZY are tangent to circle O.

Which kind of triangle must triangle XYZ be?

• an equilateral triangle

• an isosceles triangle

• a scalene triangle

• a right triangle