Problem PageQuestion A circle has a radius of . Find the radian measure of the central angle that intercepts an arc of length .
1 answer:
Answer:
<h2><em>0.1π rad</em></h2>Step-by-step explanation:
The question is incomplete. Here is the complete question.
A circle has a radius of 19m . Find the radian measure of the central angle θ that intercepts an arc of length 5m. Do not round any intermediate computations, and round your answer to the nearest tenth.
The formula for calculating the length of an arc
θ is the central angle
r is the radius of the circle = 19m
L is the length of an arc = 5m
Substitute the given values into the formula and get the central angle θ
5 = θ/360 * 2(22/7)*19
5 = θ/2π * 119.4285714
θ/2π = 5/119.4285714
θ/2π = 0.041866
θ = 2π*0.041866
θ = 0.083732π
θ = 0.1π rad (to the nearest tenth)
<em>Hence the radian measure of the central angle that intercepts an arc of length to the nearest tenth is 0.1π rad</em>
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Answer:
x = 70
Step-by-step explanation:
Step 1: Simplify both sides of the equations.
Step 2: Subtract 5/7x from both sides.
Step 3: Multiply both sides by 70/(-43).
Step 4: Check if solution is correct.
Therefore, x = 70.