Circles Review(Arc Length, Sector Area, Equations, Angles)

Given circle J, what is the value of y?

• 92°

• 50°

• 38°

• 88°

Tags

G.11a

Given circle O, what is the m∠ACB?​ (a)  

• 22.5°
• 90°
• 45°

Tags

G.11a

A strawberry cake is cut into three pieces. The arc measures of all sections are congruent. What is the measure of angle XZY?

• 60°

• 120°

• 240°

Tags

G.11a

What is the measure of arc PR?

• 100°

• 120°

• 140°

Tags

G.11a

Todd is planting a circular garden which will be sectioned off as shown. What is the m∠AOB?

• 25°

• 30°

• 110°

• 55°

Tags

G.11a

In circle A shown, the radius AC = 8 cm. Find the following; give exact answers.

Area of Sector Y: ​ (a)  

Area of Sector X: ​ (b)  

Length of arc CD: ​ (c)  

Length of arc CE: ​ (d)  

• 8π
• 24π
• 6π
• 2π
• 64π
• 16π

Tags

G.11c

An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70° to determine the length of railing needed for the balcony. What is closest to the length of the railing needed for the curved section of the balcony?

• 24 ft

• 49 ft

• 251 ft

• 977 ft

Tags

G.11c

An 18 inch windshield wiper makes a 122° sector as it moves across the windshield. What is closest to the area of the sector?

• 76 in²

• 549 in²

• 345 in²

• 38 in²

Tags

G.11c

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Tags

G.12

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

Tags

G.12