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Area of the cone part is pi*r*s (s is the slant height which is the hypotenuse of the triangle formed by the radius and the altitude). cosine(theta) = r/s, so s = r/cos(theta), and A = pi*r*s = pi*r^2 / cos(theta). The area of the circle part is given by pi*r^2. Then just add them together.

Q: How do you find the area of a cone with only the angle degree and base radius given?

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That will depend on the length or angle of the arc which has not been given

The area is 0.5*pi*r2 where r is the radius. The angle is totally irrelevant since it will always by 180 degrees for a semicircle!

Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.

the area of a sector = (angle)/360 x PI x radius x radius pi r squared

You cannot. The angle of the sector MUST be given, although that might be implicitly rather than explicitly.

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if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area

With the information given, you cannot. You need the radius or the central angle.

6.46

45.33

6.46

That will depend on the length or angle of the arc which has not been given

The area of a circle is given by the forumula pi x the radius squared. A 90 degree sector will occupy one fourth of the area of the circle, so the answer is: (pi x r2)/4 = (3.14 x 82)/4 = 50.24, or approximately 50 if you are calculating with significant figures in mind.

The area is 0.5*pi*r2 where r is the radius. The angle is totally irrelevant since it will always by 180 degrees for a semicircle!

Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.

the area of a sector = (angle)/360 x PI x radius x radius pi r squared

You cannot. The angle of the sector MUST be given, although that might be implicitly rather than explicitly.

Circumference of a circle given radius Area of a circle given radius Volume of a sphere given radius Surface area of a sphere given radius Converting degrees to radians or vice versa