Answer: 211 in²
Step-by-step explanation:
To find the area of the shaded region, you want to find the area of the rectangle, then subtract the area of the circle and the triangle. First, we need to find the area of the triangle. We know that there is a circle because 2 halves make a full circle.
Area of Circle
A=πr²
A=π(6)² [exponent]
A=36π [multiply]
A=113
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Area of Triangle
A=bh/2
A=(18)(12)/2 [multiply]
A=216/2 [divide]
A=108
Now that we have the area of the shapes, let's find the area of the entire rectangle.
A=lw
A=(36)(12) [multiply]
A=432
With the area of the rectangle, we can subtract the areas.
432-108-113=211
The area of the shaded region is 211 in².
Ray AD, since D is at 105°
Answer:
Step-by-step explanation:
3x + 3y = -3 given
3x = -3y - 3 subtract 3y from both sides
x = -y -1 divide everything by 3
hope this helps <3
Answer:
Step-by-step explanation:
we know that if we are given any data than total value of data=360°
Here, Total value of data =43+48+37+24 units
=152 units
152 units=360°
Hence, the measure of central angle of 43=43×(360/152)=101.84°≈102°.
measure of central angle of 48=48×(360/152)=113.68°≈113°.
measure of central angle of 37=37×(360/152)=87.63°≈88°.
measure of central angle of 24=24×(360/152)=56.84°≈57°.