Ch 10 Circle Geometry Concepts

What is the measure of the arc or central angle indicated by m∠JI in the given circle diagram?

• 72°

• 55°

• 90°

• 180°

What is the measure of the arc or central angle indicated by m∠XY in the given circle diagram?

• 81°

• 131°

• 90°

• 180°

What is the equation of a circle with center at (11, 4) and radius 6?

• (x - 11)² + (y - 4)² = 36

• (x + 11)² + (y + 4)² = 36

• (x - 6)² + (y - 4)² = 11

• (x - 11)² + (y - 4)² = 12

Given a circle with center at (5, -12) and a point on the circle at (11, -14), what is the equation of the circle?

• (x - 5)² + (y + 12)² = 40

• (x + 5)² + (y - 12)² = 36

• (x - 5)² + (y + 12)² = 40

• (x - 5)² + (y + 12)² = 40

If a circle has a center at (h, k) and radius r, what is the general form of its equation?

• (x - h)² + (y - k)² = r²

• (x + h)² + (y + k)² = r²

• (x - h) + (y - k) = r

• (x + h) + (y + k) = r

What is the measure of angle J in the circle where arc KL measures 148°?

• 74°

• 148°

• 37°

• 106°

If angle R in the circle is 91°, what is the measure of the arc ST?

• 182°

• 91°

• 45.5°

• 89°

In the circle, if arc KL is 125° and arc KM is 85°, what is the measure of angle M?

• 105°

• 62.5°

• 52.5°

• 100°

Solve for x in the circle where a tangent and a secant are drawn, with the tangent segment measuring 15, and the secant segments measuring 6 and 7.

• 10

• 12

• 9

• 15

Solve for x in the circle where a tangent segment is 12, and the secant segments are 6 and 9.

• 18

• 15

• 12

• 9