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What is the solid angle subtended by a sphere?
The solid angle subtended by a sphere is defined as the area of the sphere's surface divided by the square of the radius of the sphere. It is measured in steradians (sr), and a full sphere subtends a solid angle of (4\pi) steradians. This value corresponds to the total area of the sphere's surface area (A = 4\pi r^2) divided by (r^2), resulting in (4\pi).
How do you find special angle values using reference radians?
To find special angle values using reference radians, first identify the angle's reference angle, which is its acute angle equivalent in the first quadrant. For example, for an angle of ( \frac{5\pi}{4} ), the reference angle is ( \frac{\pi}{4} ). Then, use the known sine and cosine values of the reference angle, adjusting for the sign based on the quadrant in which the original angle lies. This method allows you to determine the exact trigonometric values for commonly encountered angles like ( \frac{\pi}{6} ), ( \frac{\pi}{4} ), and ( \frac{\pi}{3} ).
When given a circumference how do you find the area?
A = C^2/(4 pi) The area of the circle is... The circumference squared... divided by 4... divided by pi If you already know the area, then you can multiply it by 4*pi, and then the square root of the product is equal to the circumference! C = (A*(4 pi))^(1/2)
What is the measure of a angle with 45 degrees?
It is pi/4 radians.
What kind of triangle make a rhombus?
A rhombus can be split into 2 isosceles triangles or divided into 4 right angle triangles
Is 38 pi divided by 4 radians a quadrantal angle?
9.5
What is 4 times pi times pi times 4 divided by 2?
4 times pi times 4 divided by 2 is 78.9568352087
What is pi divided by 4?
45 degrees or 0.785398163. The first part is pi radians divided by 4, not quite the same thing.
What angle is Sine and cosine equal?
at a 45 degree angle, or pi/4
What is a 45 degree angle in terms of pi?
1/4 pi to find the degree in terms of pi, divide the degree by 180 in this example, 45 / 180 = 1/4
What is the cotangent of 7 times Pi divided by 4?
28
What is pi times 3 divided by 4?
12
How do you find special angle values using reference radians?
To find special angle values using reference radians, first identify the angle's reference angle, which is its acute angle equivalent in the first quadrant. For example, for an angle of ( \frac{5\pi}{4} ), the reference angle is ( \frac{\pi}{4} ). Then, use the known sine and cosine values of the reference angle, adjusting for the sign based on the quadrant in which the original angle lies. This method allows you to determine the exact trigonometric values for commonly encountered angles like ( \frac{\pi}{6} ), ( \frac{\pi}{4} ), and ( \frac{\pi}{3} ).
When given a circumference how do you find the area?
A = C^2/(4 pi) The area of the circle is... The circumference squared... divided by 4... divided by pi If you already know the area, then you can multiply it by 4*pi, and then the square root of the product is equal to the circumference! C = (A*(4 pi))^(1/2)
How do you get a tangent of one?
Use an angle of pi/4 radians.
What is the measure of a angle with 45 degrees?
It is pi/4 radians.
What kind of triangle make a rhombus?
A rhombus can be split into 2 isosceles triangles or divided into 4 right angle triangles
