Geometry Sol Review

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Tags

CCSS.HSG.C.B.5

An architect used a diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70 degrees to determine the length of the railing needed for the balcony.

Which is closest to the length of railing needed for the curved section of balcony?

• 977 ft

• 24 ft

• 49 ft

• 251 ft

Tags

CCSS.HSG.C.B.5

Chords and \overline{WP} and \overline{KZ} intersect at point L in the circle shown. What is the length of \overline{KZ}?

• 12

• 7.5

• 10

• 9

Tags

CCSS.HSG.C.A.2

What is the sum of the interior angles for a 24-gon?

What is the sum of the exterior angles of a 20-gon?

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

• 60°

• 80°

• 108°

• 120°

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

• 2

• 3

• 9

• 14

Tags

CCSS.HSG.C.A.2

What is the value of x?

• x = 160

• x = 40

• x = 80

• x = 360

Which shape must have opposite sides that are parallel and congruent, and diagonals that are perpendicular bisectors of each other?

• Rhombus

• Trapezoid

• Parallelogram

• Rectangle

Tags

CCSS.HSG.CO.C.11

This container is composed of a right circular cylinder and a right circular cone. Which is closest to the surface area of the container?