Calculating the length of an arc

Practice Questions

GMAT Quantitative Reasoning › Calculating the length of an arc

Questions

What is the arc length for a sector with a central angle of $45^{\circ}$ if the radius of the circle is ?

The arc $\widehat{AB}$ of a circle measures $90^{\circ }$ . The chord of the arc, $\overline{AB}$ , has length . Give the length of the arc $\widehat{AB}$ .

A giant clock has a minute hand that is eight feet long. The time is now 2:40 PM. How far has the tip of the minute hand moved, in inches, between noon and now?

Chords

Note: Figure NOT drawn to scale

Refer to the above diagram.

$\widehat{ABC} = 220 ^{\circ }$

$\widehat{BCA} = 230 ^{\circ }$

What is $m \angle BAC$ ?

Consider the Circle :

Circle3

(Figure not drawn to scale.)

Suppose $\angle BOX$ is $100^{\circ}$ . What is the measure of arc in meters?

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

What is the length of the arc formed by angle ?

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