#2 Circles, Arcs, Sectors, Inscribed Angles

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

Front

What is a sector of a circle?

Back

A sector of a circle is a region bounded by two radii and the arc between them.

Front

How do you calculate the area of a sector?

Back

The area of a sector can be calculated using the formula A = (θ/360) * πr², where θ is the central angle in degrees and r is the radius.

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Front

How do you find the length of an arc?

Back

The length of an arc can be calculated using the formula L = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula C = 2πr, where r is the radius.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the formula for the area of a sector in radians?

Back

The area of a sector can be calculated using the formula A = (1/2) * r²θ, where θ is the central angle in radians.