Calculating the angle of a sector

Practice Questions

GMAT Quantitative Reasoning › Calculating the angle of a sector

Questions

Chords

Note: Figure NOT drawn to scale.

$m \angle A = 65 ^{\circ }; m \angle B = 55 ^{\circ }$ .

Order the degree measures of the arcs $\widehat{AB}, \widehat{BC}, \widehat{CA}$ from least to greatest.

Export-png__2_

Angle $\widehat{DCB}$ is $35^{\circ}$ . What is angle $\widehat{DAB}$ ?

In the figure shown below, line segment passes through the center of the circle and has a length of . Points , , and are on the circle. Sector covers $\frac{1}{6}th$ of the total area of the circle. Answer the following questions regarding this shape.

Circle1

Find the value of central angle .

Export-png__3_

are evenly spaced points on the circle. What is angle $\widehat{DFC}$ ?

Export-png__4_

The points and are evenly spaced on the circle of center . What is the size of angle $\widehat{FBE}$ ?

The radius of Circle A is equal to the perimeter of Square B. A sector of Circle A has the same area as Square B. Which of the following is the degree measure of this sector?

Return to subject