Big Ideas Geometry Chapter 10 Review

Front

What is the equation of a circle with center (h,k) and radius r?

Back

(x - h)² + (y - k)² = r²

Front

How do you find the radius of a circle given a center and a point on the circle?

Back

Use the distance formula: r = √((x2 - x1)² + (y2 - y1)²) where (x1, y1) is the center and (x2, y2) is the point on the circle.

Front

What is the formula for the area of a circle?

Back

A = πr², where r is the radius.

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Front

What is the relationship between the central angle and the arc length in a circle?

Back

Arc length = (θ/360) × 2πr, where θ is the central angle in degrees.

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where r is the radius.

Front

What is the definition of a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

What is the definition of a diameter?

Back

A diameter is a chord that passes through the center of the circle and is the longest chord.

Front

What is the definition of a tangent to a circle?

Back

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

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.