Which triangle is similar to JKL?
1 answer:
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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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Answer: y = 2x + 6
Step-by-step explanation:
Here the equation of line,
y = 2x + 1
y-intercept of the line is, (0, 1)
And, the slope of the line is 2.
Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),
Then transformed point are get by,
Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),
Thus, the point of the new line is (0,6)
And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)
Thus, the equation of new line,
(y - 6) = 2 (x - 0)
y - 6 = 2x
y = 2x + 6
