Circles Review

Front

What is the formula for the length of an arc in a circle?

Back

The length of an arc (L) can be calculated using the formula: L = r * θ, where r is the radius and θ is the angle in radians.

Tags

CCSS.HSG.C.B.5

Front

How do you calculate the area of a circle?

Back

The area (A) of a circle can be calculated using the formula: A = π * r^2, where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the diameter and radius of a circle?

Back

The radius (r) is half of the diameter (d). Therefore, r = d/2.

Tags

CCSS.7.G.B.4

Front

How do you find the area of a sector of a circle?

Back

The area of a sector can be calculated using the formula: A = (θ/360) * π * r^2, where θ is the angle in degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the measure of a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the inscribed angle and the arc it subtends?

Back

The measure of an inscribed angle is half the measure of the arc it subtends.

Tags

CCSS.HSG.C.A.2

Front

If the diameter of a circle is 14 inches, what is the radius?

Back

The radius is 7 inches, since the radius is half of the diameter.

Tags

CCSS.7.G.B.4

Front

What is the formula to find the circumference of a circle?

Back

The circumference (C) of a circle can be calculated using the formula: C = 2 * π * r.

Tags

CCSS.7.G.B.4

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees * (π/180).

Tags

CCSS.HSF.TF.A.1

Front

What is the measure of an angle formed by two chords that intersect inside a circle?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

Tags

CCSS.HSG.C.A.2