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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?
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.)
What is the slant height of a cone with a radius of 7 and a altitude of 19?
If you visualize the cone by cutting it vertically (with a plane perpendicular to the base), you can construct a right triangle to represent the radius, altitude, and slant height. This triangle has legs of 7 (the radius) and 19 (the altitude). Its hypotenuse represents the slant height. We can then use the Pythagorean theorem to solve for the slant height: 72 + 192 = s2 72 + 192 = s2 410 = s2 s = √(410) s ≈ 20.24 Therefore the cone has a slant height of √(410), or approximately 20.248456731316586933246902289901 units.
How do you work out the area of a hexagon?
the Regular hexagon : Area=(1/2)*(radius of the inscribed circle)*perimeter units2 The irregular hexagon : Area can be computed by the scalene triangle method. from one of the points to the other vertexes,you get 3 diagonals and hence three scalene triangle. hence use the area of a scalene triangle=sqrt(s (s - s1) (s - s2) (s - s3)) units2 where s=(s1+s2+s3)/2
Is the diameter of the circle always greater than the radius of the circle?
No, only if the diameter is bigger than the radius is the radius smaller than the diameter.
What happens to the circumference of a circle when the radius is quadrupled?
It gets bigger.
