Asked by: Humberta Nierhaus
asked in category: General Last Updated: 10th January, 2020

How do you find the cross section of a semicircle?

We know that the cross-sections are semicircles perpendicular to the x-axis. To find the area of the typical semicircle, we must first find the typical radius. For each semicircle, the diameter extends from the x-axis to the line x + 2y = 8. Thus to find the typical diameter we must subtract: 8−x2−0=8−x2=diameter.

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Furthermore, what is the cross section of a sphere?

The cross section, of a sphere formed by a plane intersecting the sphere at an equator, is a circle of the same radius as that of the sphere itself (as may be seen from picture below). Hence, the area of the cross section is. πr2=π×112=121π

Additionally, how do you find the cross sectional area? Cross-Sectional Area of a Rectangular Solid The volume of any rectangular solid, including a cube, is the area of its base (length times width) multiplied by its height: V = l × w × h. Therefore, if a cross section is parallel to the top or bottom of the solid, the area of the cross-section is l × w.

Consequently, what is the formula of semicircle?

In the case of a circle, the formula for area, A, is A = pi * r^2, where r is the circle's radius. Since we know that a semicircle is half of a circle, we can simply divide that equation by two to calculate the area of a semicircle. So, the formula for the area of a semicircle is A = pi * r^2/2.

How do I find the length of an arc?

To find arc length, start by dividing the arc's central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 × pi to find the arc length.

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