Unit 6.1 Circles Geometry

Front

What is a semicircle?

Back

A semicircle is an arc that represents half of a circle, measuring 180 degrees.

Front

What is a major arc?

Back

A major arc is an arc that measures more than 180 degrees.

Front

What is a minor arc?

Back

A minor arc is an arc that measures less than 180 degrees.

Front

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

Back

The measure of an arc can be found using the formula: Arc Measure = (Central Angle) x (180/π) if the angle is in radians.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.

Front

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

Back

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

Front

If arc AB measures 68 degrees, what is the measure of the central angle subtended by arc AB?

Back

The measure of the central angle is equal to the measure of the arc, so it is 68 degrees.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

If arc ADC measures 305 degrees, what type of arc is it?

Back

Arc ADC is a major arc because it measures more than 180 degrees.

Front

How do you calculate the length of an arc?

Back

Arc Length = (Central Angle/360) x Circumference of the circle.