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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the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.
<h3>What is Logarithm?</h3>- The opposite of exponentiation is the logarithm.
- This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
- A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Given:
- y = 6.72 (
), where
- y = population in billions
- x = time in years
To find: Year when population is 8 billion, i.e., y = 8.
Finding:
8 = 6.72 ( )
=>
Taking log on both sides
=>
=> log(1.19) = x (log 1.014) (as )
=> = x
=> x =
=> x = 12.58
Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.
To learn more about logarithms, refer to the link: brainly.com/question/25710806
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