Math Circles

A circle has a radius of 5 inches. What is the length of an arc that has a central angle of 2π/3 radians?

• 10π/3 inches

• 2π/15 inches

• π/5 inches

• 5π/3 inches

Tags

CCSS.HSG.C.B.5

• A
• B
• C
• D

Tags

CCSS.HSG.C.B.5

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.C.8

What is the center and radius of the circle given below?

• C(-4, 3) radius = 25

• C(4, -3) radius = 25

• C(4, -3) radius = 5

• C(-4, -3) radius = 5

Tags

CCSS.HSG.GPE.A.1

• 4.712

• 4.189

• 3.927

• 3.665

What is the length of a radius of the circle represented by the equation x²+y²-4x-4y+4=0?

• 2 units

• 4 units

• 8 units

• 16 units

Tags

CCSS.HSG.GPE.A.1

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.2

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.2

• 34°

• 56º

• 124°

• 28°

Tags

CCSS.HSG.C.A.2

A sprinkler is spraying water in a radius of 10 yards at a rotation of 80 degrees. What is the approximate area of ground covered by the water from the sprinkler?

• 62.4 square yards

• 64.8 square yards

• 69.8 square yards

• 73.2 square yards

Tags

CCSS.HSG.C.B.5