Circles/Pythagorean Theorem Review

Front

What is the definition of a radius in a circle?

Back

The radius of a circle is the measurement from the center of a circle to an edge of the circle.

Front

What is the formula for the Pythagorean Theorem?

Back

a² + b² = c², where c is the hypotenuse and a and b are the other two sides of a right triangle.

Tags

CCSS.8.G.B.8

Front

How do you find the measure of a central angle in a circle?

Back

The measure of a central angle is equal to the measure of the arc it intercepts.

Tags

CCSS.HSG.C.A.2

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

What is the relationship between the diameter and the radius?

Back

The diameter is twice the length of the radius (Diameter = 2 × Radius).

Tags

CCSS.7.G.B.4

Front

How do you calculate the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the definition of a tangent line to a circle?

Back

A tangent line is a line that touches the circle at exactly one point.

Front

How do you find the length of an arc in a circle?

Back

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

Tags

CCSS.HSG.C.B.5