Chords and Tangents

Front

What is a chord in a circle?

Back

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

Front

What is a secant in relation to a circle?

Back

A secant is a line that intersects a circle at two points.

Front

What is a tangent in relation to a circle?

Back

A tangent is a line that touches the circle at exactly one point.

Front

What is the diameter of a circle?

Back

The diameter is a chord that passes through the center of the circle, and it is the longest chord.

Front

What is the formula for the circumference of a circle?

Back

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

Front

What is the formula for the area of a circle?

Back

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

Front

If the radius of a circle is 8 cm, what is the circumference?

Back

C = 2π(8) = 50.24 cm.

Front

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

Back

A = π(5)² = 25π ≈ 78.54 cm².

Front

What is the relationship between a tangent and a radius at the point of tangency?

Back

A tangent is perpendicular to the radius at the point of tangency.

Front

How do you find the length of a tangent segment from a point outside the circle?

Back

Use the formula: length = √(d² - r²), where d is the distance from the point to the center and r is the radius.