Please answer this correctly
2 answers:
Answer: 593.46 mm²
<u>Step-by-step explanation:</u>
The diameter of the big circle is 2(7) + 20 = 34
divide the diameter by 2 to get the radius (r) = 17
Area = π·r²
= π(17)²
= 289 π
The diameter of the big circle is 20
divide the diameter by 2 to get the radius (r) = 10
Area = π·r²
= π(10)²
= 100 π
The area of the shaded region is the difference between the area of the big circle and the area of the small circle.
= 289 π - 100 π
= 189 π
= 189(3.14)
= 593.46
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The measure of the ∠1 is 35 degrees.
<h3>How to determine the angle </h3>it is important to know that the measure of an angle with its vertex outside the circle is half the difference of the intercepted arcs.
Also, the angle subtended by the arc at the center of the circle is the angle of the arc
From the diagram, we have
m ∠ of external angle = half of the difference of arc angles
The arc angles are
- 106°
- 36°
m ∠ of external angle = ∠ 1
Let's substitute the angles
∠1 =
∠ 1 =
∠ 1 = 35°
We can see that the external angle 1 measures 35 degrees.
Note that the complete image is added.
Thus, the measure of the ∠1 is 35 degrees.
Learn more about a circle here:
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Answer:
A.
B.
C.
Step-by-step explanation:
Part A. The expression consists of three terms:
The first and the last terms are like terms, we can add them:
Now,
So,
Part B. The expression is a square of
so
Part C. Use the difference of squares formula: