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What is the ratio of the area of a square to the area of a circle when the length of one side of the square is the radius of the circle?
Wiki User
∙ 14y ago
Given: a square with side = s and a circle with radius = s (radius is equal to the length of the side of the square) Areasquare = side squared = s2 Areacircle = pi times the square of the radius = pi times s2 Areasquare : areacircle = s2 : pi s2 = 1 : pi (The ratio is one to pi.)
Wiki User
∙ 14y ago
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What is the ratio of the area of a circle to the area of a square when one side of the square is the radius of the circle?
Let's call the number 'K' ... the side of the square and the radius of the circle.-- the area of the square is [ K2 ]-- the area of the circle is [ (pi) K2 ]-- The ratio of the circle to the square is [(pi) K2 / K2 ] = pi
What is the ratio of the radius of a circle to its circumference?
Radius of a circle = circumference/2*pi
What is the ratio of a circle's circumference called?
The ratio of a circle's circumference to its area is called the reciprocal of half the radius. The ratio of the circumference to its radius is called two times pi.
If the ratio of a circle's sector to its total area is 78 what is the measure of its sector's arc?
Length of arc = angle of arc (in radians) × radius of circle With a ratio of 7:8 the area of the sector is 7/8 the area of the whole circle. This is the same as saying that the circle has been divided up into 8 equal sectors and 7 have been shaded in. Dividing the circle up into 8 equal sectors will give each sector an angle of arc of 2π × 1/8 7 of these sectors will thus encompass an angle of arc of 2π × 1/8 × 7 = 2π × 7/8 = 7π/4 Thus the length of the arc of the sector is 7π/4 × radius of the circle. --------------------------------- Alternatively, it can be considered that as 7/8 of the area is in the sector, the length of the arc is 7/8 the circumference of the circle = 7/8 × 2π × radius = 7π/4 × radius.
What is the area in square feet of a 70 foot circle?
The area of any circle is determined by the formula: A = πr2 where A is the area, π is "pi", the ratio of a circle's circumference to its diameter (approximately 3.1416), and r is the radius of a circle, or half its diameter. If your diameter is 70 feet, the radius is 35 feet. So, ... A = πr2 = (app) 3.1416 x 352 = (app) 3,848 square feet, or about 0.09 acres.
What is the ratio of the length of the diameter of a circle to the length of its radius?
Length of diameter:length of radius = 2:1
What is the ratio between side of a square and radius of circle whose areas are same?
Finding a circle with the same area as a square is known as squaring the circle. It has been proven to be impossible. (this was done in 1882) I have included some references as links to explain why this cannot be done. If you have a circle inscribed a square, then its radius is 1/2 of the side length of the square or its diameter is the length of a side. If this is what you mean then the ratio of the side of the square to the radius of the circle is 1 to 1/2 or 2 to 1.
What is the ratio of the diameter of the length of its radius?
diameter to radius ratio (for same circle) is 2:1
How do you find the area of a circle when the radius is unknown?
By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.
What is the ratio of the area of a circle to the area of a square when one side of the square is the radius of the circle?
Let's call the number 'K' ... the side of the square and the radius of the circle.-- the area of the square is [ K2 ]-- the area of the circle is [ (pi) K2 ]-- The ratio of the circle to the square is [(pi) K2 / K2 ] = pi
What is the ratio if the area of a circle to the area of a square when one side of the square is the radius of the circle?
1/3.15159
What is the ratio between radius and area for a circle?
There is no direct ratio. The area is related to the square of the radius by the factor "pi." A = (pi) r2 (Pi is about 3.1416)
If the radius of a circle with an area of 120 mm squared is multiplied by 3 what is the area of the new circle?
In ratios, the ratios of areas is the square of the ratio of sides. Consider the original circle and the new larger circle formed by multiplying its radius (length) by 3: The circles have lengths in the ratio 1 : 3 → the circle have areas in the ratio 1² : 3² = 1 : 9 → The larger circle's area is 9 × 120 mm² = 1080 mm²
What is the ratio of the circumference to the radius of the circle?
The ratio of the circumference to the radius of the circle is 2 times pi
What is the ratio of the radius of a circle to its circumference?
Radius of a circle = circumference/2*pi
What is the ratio of a circle with a radius of 8cm?
It depends on the ratio of what of the circle? Its circumference, diameter, area?
What is the ratio of a circle's circumference called?
The ratio of a circle's circumference to its area is called the reciprocal of half the radius. The ratio of the circumference to its radius is called two times pi.
