Help ASAP this is a question from 6th grade
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If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units
The radius of the circle = 16 units
The central angle of the shaded region = 3π /4 radians
The area of the sector = (θ/ 360) × πr^2
Where θ is the central angle of the sector
r is the radius of the sector
Substitute the values in the equation
The area of the sector = ((3π /4) /360) × π × 16^2
Convert the radians to the degrees
= (135/360) × 256π
Multiply the terms
= 96π square units
Hence, the area of the shaded sector is 96π square units
The complete question is
The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?
Learn more about area of the sector here
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The rate of interest is 75 % per year
<em><u>Solution:</u></em>
Given that, Jamerra received a $3,00 car loan
she plans on paying off the loan in 2 years
<em><u>Jamerra will have paid $450 in interest</u></em>
Therefore, we get
Principal = $ 300
Number of years = 2
Simple Interest = $ 450
Rate of interest = ?
<em><u>The simple interest is given by formula:</u></em>
Where,
"p" is the principal and "n" is the number of years and "r" is the rate of Interest
<em><u>Substituting the given values we get,</u></em>
Thus rate of interest is 75 % per year