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How many hectares in a circle with 100 meters radius?
Well, honey, a circle with a radius of 100 meters has an area of approximately 3.14 hectares. So, there you have it, darling, just over 3 hectares in that circle. Hope that clears things up for you!
Inside a circle a square is inscribed what is the ratio of areas of the square to that circle?
First we need to find the relationship between the length of a square side (x) and the radius of the circle (r). The radius of the circle is half of the diagonal of the square. Thus the length of the diagonal is 2r. Using the Pythagorean theorem, we can look at the square as two triangles where the diagonal of the square is the hypotenuse, and find the length x of the sides. The Pythagorean theorem states that a2 + b2 = c2 for a right triangle, where c is the hypotenuse, and a and b are the other side. Since it is a square, we know a=b and thus a2 = b2. Thus we get 2a2=c2. Since we know that c = the diagonal of the square = 2r and we defined the side of the square's length as x, we get: 2x2 = (2r)2 = 4r2 thus x2=2r2 We'll get back to that in a sec. We know the area of the circle is πr2, and the area of the square is x2, but we want these in terms of the same variable to compare them. From above, we saw that x2=2r2, so now we know that the area of the square = 2r2 To find the ratio of the square's area to the circle's area, we look at the area of the square over the area of the circle: (2r2)/(πr2) = 2/π Thus the ratio is 2/π.
What is pi in math?
Pi is the number used to find the circumference or area of a circle. It is also used to calculate the surface area and volume of a sphere, cylinder, and cone. It can be shortened as 3.14 Numerically it is 3.1415 then a long string of numbers that never end as it is an irrational number. Over 1 million decimal places to the value have been identified. Some folks use 22/7 as a quick value for pi as it is within 0.3% of the correct value. As to what it is: Pi ( π) is the ratio between the radius of a circle and its circumfrance. The value allows calculation of the area and circumfrance of a circle and the volume of a sphere.
Area of a shaded region?
Well, honey, the area of a shaded region is simply the difference between the total area and the area of the unshaded parts. Just calculate the area of the entire shape and subtract the areas of any parts that aren't shaded. It's basic math, darling, nothing to lose sleep over.
How many times does 14 go into 39?
Twice, with 11 left over.
