Answer:
The area of the circle is 314 in^2.
Step-by-step explanation:
10 inches is the radius.
The formula for the area of a circle is pi times radius squared.
So your equation would be:
10^2 = 100
Then you do or 3.14 times 10 = 314.1592654 or just 314.
Hope I helped ya.
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Answer:
Measure of angle 4 is 115°
Step-by-step explanation:
First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.
Find angle 2 by setting up an equation:
This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.
Solve the equation:
Combine the 2 x's to get 2x.
Subtract 50 from both sides.
Divide both sides by 2.
Since x=65, plug 65 into x in the measure of angle 2 (x+50).
65+50=115.
Since Angle 2 is equal to angle 4, angle 4 is also 115.