Circumference and Arc Length

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where C is the circumference and r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the value of π (pi) approximately?

Back

π ≈ 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you calculate the circumference of a circle with a diameter of 10 cm?

Back

C = πd = 3.14 × 10 = 31.4 cm.

Tags

CCSS.7.G.B.4

Front

What is the relationship between radius and diameter?

Back

Diameter (d) = 2 × Radius (r).

Tags

CCSS.7.G.B.4

Front

What is arc length in a circle?

Back

Arc length is the distance along the curved line of the arc.

Tags

CCSS.HSG.C.B.5

Front

How do you find the arc length given the radius and central angle?

Back

Arc Length = (θ/360) × 2πr, where θ is the central angle in degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the circumference of a circle with a radius of 7 cm?

Back

C = 2πr = 2 × 3.14 × 7 = 43.96 cm.

Tags

CCSS.7.G.B.4

Front

If the radius of a circle is 5 inches, what is the circumference?

Back

C = 2πr = 2 × 3.14 × 5 = 31.4 inches.

Tags

CCSS.7.G.B.4

Front

What is the arc length of a circle with a radius of 3 cm and a central angle of 90 degrees?

Back

Arc Length = (90/360) × 2π(3) = 4.71 cm.

Tags

CCSS.HSG.C.B.5

Front

What is the formula to find the central angle from arc length?

Back

θ = (Arc Length / (2πr)) × 360.

Tags

CCSS.HSG.C.B.5