The diameter of a circle is 14 in. Find its area in terms of π π.
1 answer:
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
- To find radius given diameter, just divide the diameter by 2:
- 14/2 = 7, so the radius is 7.
Step 2: Apply area of circle formula.
- The formula to find the area of a circle is πr², where r = radius.
- Now, plug in the value of r: π(11)².
Step 3: Simplify.
- π(11)²
- π(121)
- 121π
Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
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Answer:
The measure of angle MNP is
m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.
Then, you can use the theorem:
the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:
m ∠ MNP = (x - y)/2
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