Inscribed Circles

Front

What is an inscribed circle?

Back

An inscribed circle is a circle that is drawn inside a polygon such that it touches all the sides of the polygon at exactly one point.

Front

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

Back

The diameter of a circle is twice the length of its radius.

Front

How do you calculate the area of a circle?

Back

The area of a circle can be calculated using the formula A = πr², where r is the radius.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius.

Front

What is the significance of the inscribed angle theorem?

Back

The inscribed angle theorem states that an angle inscribed in a circle is half the measure of the central angle that subtends the same arc.

Front

How do you find the radius of a circle if you know the diameter?

Back

To find the radius, divide the diameter by 2.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.

Front

How do you solve for an unknown angle in a triangle?

Back

To solve for an unknown angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the definition of a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.