The circle on the right has center O. Its radius is 3 yd., and the central angle a measures 130°. What is the area of the shaded
region? Give the exact answer in terms of π, and be sure to include the correct unit in your answer.
1 answer:
Answer:
area of the sector = 3.25π yard²
Step-by-step explanation:
The radius of the circle is 3 yards . The central angle is 130° let us say it is the sector angle of the circle. The angle is 130°. If the shaded area of the circle is the sector area of the circle the area of the sector can be computed below.
area of a sector = ∅/360 × πr²
where
∅ = center angle
r = radius
area of the sector = 130/360 × π × 9
area of the sector = 1170π/360
area of the sector = 3.25π yard²
If the shaded area is segment. The shaded area can be solved with the formula.
Area of segment = area of sector - area of the triangle
Area of segment = ∅/360 × πr² - 1/2 sin∅ r²
The picture demonstrate the area of sector and the segment of a circle with illustration on how to compute the area of the triangle
You might be interested in
Answer:
A. the slope value is 1/4
B. 0
C. y = 1/4x
Step-by-step explanation:
A: the slope can be calculated with the formula
m is the slope
(x1, y1) is your first coordinate point (any point will work)
(x2, y2) is your second coordinate point (any point will work)
Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:
B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.
C:
the equation of the graph is y = mx + b.
m is the slope = 1/4
b is the y-intercept = 0
Therefore the equation is y = 1/4x