The area of the circle = π r² = π (d/2)²
Where r is the radius of the circle
And d is the diameter of the circle
d = 2r OR r = d/2
given d = 10 in ∴ r = d/2 = 10/2 = 5 in
∴ The area of the circle = π r² = π * 5² = 25π ≈ 78.54 in²
The correct answer is the fourth option 78.54
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very important note:
There is a mistake in the dimension of the answers.
The dimension of the given diameter is inch , while the dimensions of the answers is square cm.
If it is required to find the area in square cm
∵ 1 inch = 2.54 cm
∴ r = d/2 = 10/2 = 5 in = 5 * 2.54 cm = 12.7 cm
∴ Area = π r² = π * (12.7)² = 161.29π ≈ 506.7 square cm
Answer:
D. 65°
Step-by-step explanation:
The measure of the angle at crossed chords is the average of the measures of the intercepted arcs:
m∠XYZ = (1/2)(arc XZ +arc WV)
m∠XYZ = (1/2)(86° +44°) = 130°/2
m∠XYZ = 65°
Answer:
Step-by-step explanation:
Given
Required
Rationalize
To do this, we simply multiply by 
This gives:
Hence:
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