Angle A has a measure of 0.7 radians. A circle with a radius length of 5 cm is centered at Angle A's vertex. The arc subtended by Angle A (along this circle) is times as long as the circle's radius. Therefore, the length of the subtended arc is: cm Angle B has a measure of 4.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle? cm Angle C has a measure of π4π4 radians. A circle with a radius length of 12 inches is centered at Angle C's vertex. What is the length of the subtended arc along this circle? inches
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
For each of the following angles, assume that the terminal ray of the angle opens up in the counter-clockwise direction.
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Angle A has a measure of 0.7 radians. A circle with a radius length of 5 cm is centered at Angle A's vertex.
The arc subtended by Angle A (along this circle) is times as long as the circle's radius. Therefore, the length of the subtended arc is:
cm
-
Angle B has a measure of 4.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
cm
-
Angle C has a measure of π4π4 radians. A circle with a radius length of 12 inches is centered at Angle C's vertex. What is the length of the subtended arc along this circle?
inches
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