Find the length of the arc on a circle with a radius of 2.4 kilometers and is intercepted by a central angle measuring 150°. leave your answer in terms of π.

If the radius of the circle exists 2.4 kilometers and is intercepted by a central angle measuring 150° then the length of the arc exists 5π inches.

What was the relation between the central angle and its intercepted arc?

If the vertex of an angle exists in the center of the circle and the two sides of the angle are radii in the circle, then this angle exists named a central angle.

Each central angle exists subtended by the opposite arc, the name of the arc exists the starting point and the finish point of the angle.

There exists a relation between the central angle and its subtended arc the measure of the central angle equals half the measure of its subtended arc.

The length of the subtended arc relies on the measurement of its central angle and the length of the radius and the measure of the arc.

The measurement of the circle exists at 360°.

The length of the circle exists at 2πr.

The radius of the circle r = 2.4 kilometers

The measure of the central angle exists at 150°.

The length of the arc = central angle/360 × 2πr

The length of the arc = 150°/360° × 2 × π × 2.4 = 2π

radiusof the circle exists2.4 kilometersand is intercepted by acentral anglemeasuring150°then thelengthof the arc exists5π inches.## What was the relation between the

central angleand itsintercepted arc?vertex of an angleexists in the center of the circle and the two sides of the angle areradiiin the circle, then this angle exists named acentral angle.opposite arc, the name of the arc exists thestarting pointand thefinish pointof the angle.central angleand its subtended arc the measure of thecentral angle equalshalf the measure of itssubtended arc.subtended arcrelies on the measurement of itscentral angleand thelength of the radiusand the measure of the arc.360°.2πr.radiusof the circle r =2.4 kilometerscentral angleexists at150°.lengthof the arc =central angle/360 × 2πrlengthof the arc =150°/360° × 2 × π × 2.4 = 2π2π kilometers.arc lengthrefer to:https://brainly.com/question/11134371