what is the equation for surface area of a circle?
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The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.
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Find formulas for the circle's radius, diameter, circumference and area , in terms of 'a'. As we've shown above, the circle's radius is equal to the half the length of the square's side, so r=a/2. The diameter is twice the radius, so d=a. The circumference is d ·π, so C=πa.
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Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h (h is the height of the cylinder, r is the radius of the top) Surface Area = Areas of top and bottom +Area of the side. Surface Area = 2(Area of top) + (perimeter of top)* height. Surface Area = 2(pi r 2) + (2 pi r)* h. In words, the easiest way is to think of a can.
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Understanding the Area and Circumference of a Circle. Factoid: The area of a circle is pi (approximately 3.14) times the radius of the circle squared. The circumference is pi times the diameter.
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If you have a hemispherical object then it has a base which is a circle of radius r. The area of a circle of radius r is π r2 and thus if the hemisphere is meant to include the base then the surface area is 2 π r2 + π r2 = 3 π r2.
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Hence the total surface area of the hemisphere = 3(pi)R^2. A semicircle has a straight line equal to the diameter of the circle and a curved line. The straight line is of length 2R and the curved line (pi)R. Hence the total perimeter of the semicircle = 2R + (pi)R.
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The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr, where r denotes the radius of the base of the cone, and L denotes the slant height of the cone. The curved surface area is also called the lateral area.
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If you have a hemispherical object then it has a base which is a circle of radius r. The area of a circle of radius r is π r2 and thus if the hemisphere is meant to include the base then the surface area is 2 π r2 + π r2 = 3 π r2. Hence in this case 3 π r2 = 1062. Solve for r.
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Calculate Area Calculate the area as π × major axis/2 × minor axis/2. For example, an ellipse has a major axis of 10 inches and a minor axis of 6 inches. The area is 3.14 × 10/2 × 6/2 = 3.14 × 5 × 3 = 47.1 square inches.
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The circumference is the total length around the circle. It's equal to (pi x diameter) OR (2 x pi x radius). The area of the circle is the surface area enclosed by the circle, which is equal to pi x (radius ^ 2). Originally Answered: What is the difference between circumference and the area of a circle?
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The formula to find a circle's area π (radius)2 usually expressed as π⋅r2 where r is the radius of a circle. The area of a circle is all the space inside a circle's circumference. In diagram 1, the area of the circle is indicated by the blue color. The area is not actually part of the circle.
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['Cube: Surface area = 6 × a2', 'Right circular cylinder: Surface area = 2 × pi × r2 + 2 × pi × r × h. ... ', 'Rectangular prism: Surface area = 2 × l × w + 2 × l × h + 2 × w × h. ... ', 'Sphere: Surface area = 4 × pi × r2 ... ', 'Right circular cone: Surface area = pi × r2 + pi × r ×( √(h2 + r2)) ... ', 'Right square pyramid: Surface area = s2 + 2 × s × l.']
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To find the equation of a circle when you know the radius and centre, use the formula ( x − a ) 2 + ( y − b ) 2 = r 2 , where represents the centre of the circle, and is the radius.
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Surface area of cube is the sum of areas of all the faces of cube, that covers it. The formula for surface area is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.
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r is the radius of the cylinder and h is its height. So for example, let's say you had a cylinder that had a radius of 3 cm and a height of 6 cm. For surface area, you would calculate: 2π(3)(6)+2π(3)2 , which will give you 54π .
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Use the formula r = √(A/(4π)). The surface area of a sphere is derived from the equation A = 4πr2. Solving for the r variable yields √(A/(4π)) = r, meaning that the radius of a sphere is equal to the square root of the surface area divided by 4π.
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Solve for r. If you have a hemispherical object then it has a base which is a circle of radius r. The area of a circle of radius r is π r2 and thus if the hemisphere is meant to include the base then the surface area is 2 π r2 + π r2 = 3 π r2.