Arc Length, Sector Area, & Unit Circle

Front

What is the formula for arc length in a circle?

Back

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

Front

Define a sector in a circle.

Back

A sector is a portion of a circle enclosed by two radii and the arc between them.

Front

What is the formula for the area of a sector?

Back

The area (A) of a sector can be calculated using the formula: A = \frac{1}{2} r^2 θ, where r is the radius and θ is the angle in radians.

Front

What is the relationship between degrees and radians?

Back

180 degrees is equal to π radians.

Front

What is the value of tan 45°?

Back

1

Front

What is the value of cos 90°?

Back

0

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by \frac{π}{180}.

Front

What is the area of a circle?

Back

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

Front

If a circle has a radius of 10, what is the circumference?

Back

The circumference (C) can be calculated using the formula: C = 2πr. For r = 10, C = 20π.

Front

What is the formula for the length of an arc given the radius and angle in degrees?

Back

The arc length (L) can be calculated using the formula: L = \frac{θ}{360} \times 2πr, where θ is the angle in degrees.