10.1 - 10.4 CFC

Front

What is a minor arc in a circle?

Back

A minor arc is an arc that is smaller than a semicircle, defined by two endpoints on the circle.

Front

Define a chord in a circle.

Back

A chord is a line segment whose endpoints lie on the circle.

Front

How do you calculate the length of an arc?

Back

The length of an arc can be calculated using the formula: \( L = \frac{\theta}{360} \times 2\pi r \), where \( \theta \) is the central angle in degrees and \( r \) is the radius.

Front

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

Back

The diameter is twice the length of the radius. \( d = 2r \)

Front

If the radius of a circle is 5 cm, what is the diameter?

Back

The diameter is 10 cm.

Front

What is the formula for the circumference of a circle?

Back

The circumference \( C \) of a circle is given by the formula: \( C = 2\pi r \) or \( C = \pi d \).

Front

Solve for x: 2x + 3 = 11

Back

x = 4.

Front

Identify a chord from the following options: \( \overline{JK}, \overline{HI}, \overline{GJ}, \overline{KL} \)

Back

The chord is \( \overline{HI} \).

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

If the central angle of a minor arc is 60 degrees, what fraction of the circle does it represent?

Back

It represents \( \frac{60}{360} = \frac{1}{6} \) of the circle.