How to find the angle of a sector

Practice Questions

SAT Math › How to find the angle of a sector

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1

Secant

Refer to the above diagram. Evaluate the measure of .

2

Secant 2

Figure NOT drawn to scale.

Refer to the above diagram. is a diameter. Evaluate

3

What is the angle of a sector of area on a circle having a radius of ?

4

Circle2

In the figure above that includes Circle O, the measure of angle BAC is equal to 35 degrees, the measure of angle FBD is equal to 40 degrees, and the measure of arc AD is twice the measure of arc AB. Which of the following is the measure of angle CEF? The figure is not necessarily drawn to scale, and the red numbers are used to mark the angles, not represent angle measures.

5

The length of an arc, , of a circle is and the radius, , of the circle is . What is the measure in degrees of the central angle, , formed by the arc ?

6

Circle

In the circle above, the length of arc BC is 100 degrees, and the segment AC is a diameter. What is the measure of angle ADB in degrees?

7

Inscribed angle

Figure NOT drawn to scale.

Refer to the above diagram. is a semicircle. Evaluate .

8

Secant 2Figure NOT drawn to scale

Refer to the above figure. is a diameter of the circle. Evaluate .

9

Inscribed quad

Figure NOT drawn to scale.

The above figure shows a quadrilateral inscribed in a circle. Evaluate .

10

Inscribed quad

Figure NOT drawn to scale.

The above figure shows a quadrilateral inscribed in a circle. Evaluate .

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