Which statements are true regarding the area of circles and sectors? Check all that apply.
2 answers:
Answer:
The correct options are a,b.
Step-by-step explanation:
The area of sector of a circle equals
Area of a sector =
where
is the angle subtended at the center by the sector
is the radius of circle
This indicates that area of the sector depends on:
1) Radius of circle
2) Angle subtended at the center by the sector
3) Area of sector does not depend on pi.
Also if we know the area of the sector only we cannot calculate area of area of whole triangle as we need one more information either angle of the sector and vice versa.
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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
