The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².
<h3>What is the Area of a Circle?</h3>
Area of a circle = πr² (radius of the circle = r).
Given the following:
- Radius of sphere = 8 cm
- Distance of the plane from the center of the sphere = 7 cm
Radius of the circle = √((radius of sphere)² - (distance of the plane from the center of sphere²)) = √(8² - 7²)
Radius of the circle = 3.87 cm
Area of the circle = π(3.87²) ≈ 15π cm².
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To solve the top triangle, use the sine of 45° and find the shared side length (y):
sin(45°) = y / 12
12(sin(45°) = y
y = 8.485
(The side y is opposite of the bottom triangle's 30° angle.)
Use the tangent of 30° to find the side length of x.
tan(30°) = 8.485 / x
x(tan(30°)) = 8.485
x = 8.485 / (tan(30°))
x = 14.696
The side length of x is approximately 14.696 units.
Answer:
3,6
Step-by-step explanation:
Add the inches together. 65+83=148
Hence 148 inches
All you have to do is find the square root of the area because the area is the side length squared.
square root of 144 = 12
So a side length is 12
