the measure of an arc of a circle of radius 6.3 cm subtends by an arc of length 4.4 cm
Answers
The measure of an arc of a circle of radius 6.3 cm subtends by an arc of length 4.4 cm is 40°.
Step-by-step explanation:
The radius of the circle, r = 6.3 cm
The length of the arc of the circle, l = 4.4 cm
The formula for the arc length of a circle is given by,
l = 2πr * [θ/360°] ……. Here θ = measure of the arc of a circle
Now, substituting the given values in the above formula, we get
4.4 = 2 * (22/7) * 6.3 * [θ/360°]
⇒ 2.2 = 22 * 0.9 * [θ/360°]
⇒ θ = [360 * 2.2] / [22 * 0.9]
⇒ θ = 40°
Thus, the measure of an arc of a circle is 40° .
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