The measure of the Central Angle indicated is; 45°
<h3>How to find the central angle of a circle?</h3>
The central angle will be the angle subtended at the center by arc FE and arc CB.
Now, we see that angle ∠FOB = 135° and since we know that sum of angles on a straight line is 180°, then we can say that;
Central Angle = 180° - 135° = 45°
Angle subtended by Arc CD at the center is;
θ = 180 - (81 + 45)
θ = 54°
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Answer:
d=-4
Step-by-step explanation:
20 = –d + 16
Subtract 16 from each side
20-16 = –d + 16-16
4 = -d
Multiply each side by -1
-1 *4 = -1 * -d
-4 =d
Answer:
A≈534.07
Step-by-step explanation:
A=2πrh+2πr^2
Answer:

Step-by-step explanation:
<u>Surface Areas
</u>
Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.
Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

The back left area is another rectangle of 4.5 mm by 9 mm

Finally, the back right area is a rectangle of 6 mm by 9 mm

Thus, the total surface area of the prism is

