Area: 1/2πr2
Perimeter: 1/2πd+d
In geometry, Heron's (or Hero's) formula, named after Heron of Alexandria, states that the area A of a triangle whose sides have lengths a, b, and c is square root of semi perimeter multiply by semi perimeter minus a multiply by semi perimeter minus b multiply by semi perimeter minus c.
To find the sides of a triangle when only the area is given, you can use Heron's formula, which relates the area to the semi-perimeter and the lengths of the sides. First, denote the sides as (a), (b), and (c), and calculate the semi-perimeter (s = \frac{a+b+c}{2}). The area (A) can be expressed as (A = \sqrt{s(s-a)(s-b)(s-c)}). However, without additional information, such as the ratio of the sides or one side length, you cannot uniquely determine the side lengths from the area alone.
The perimeter of a circle has the formula 2πr. Therefore the length of a semi circle is πr. But the perimeter of a semi circle also includes the diameter which is 2r. Therefore the perimeter of a semi circle = πr + 2r = r(π + 2)
-6
Calculate the area of a rectangle and of the semicircle separately, then add.
Semi-perimeter means half the perimeter. Calculate the perimeter, then divide that by 2 to get the semi-perimeter.
The semi-circle is 0.5 X pi X diameter + diameter The semi-circle is 0.5 X pi X diameter + diameter
In geometry, Heron's (or Hero's) formula, named after Heron of Alexandria, states that the area A of a triangle whose sides have lengths a, b, and c is square root of semi perimeter multiply by semi perimeter minus a multiply by semi perimeter minus b multiply by semi perimeter minus c.
To find the sides of a triangle when only the area is given, you can use Heron's formula, which relates the area to the semi-perimeter and the lengths of the sides. First, denote the sides as (a), (b), and (c), and calculate the semi-perimeter (s = \frac{a+b+c}{2}). The area (A) can be expressed as (A = \sqrt{s(s-a)(s-b)(s-c)}). However, without additional information, such as the ratio of the sides or one side length, you cannot uniquely determine the side lengths from the area alone.
Area = pi*a*b where a and b are the semi-major and semi-minor axes.
Area = pi*a*b where a and b are the semi-major and semi-minor axes.
The perimeter of a circle has the formula 2πr. Therefore the length of a semi circle is πr. But the perimeter of a semi circle also includes the diameter which is 2r. Therefore the perimeter of a semi circle = πr + 2r = r(π + 2)
To find the total length of the fence needed for the track, first calculate the length of the rectangular part. If the width of the rectangle is 32' (the diameter of the semi-circles), then the length is 45'. The perimeter of the rectangle is (2 \times (45 + 32) = 154) feet. The two semi-circles together form a full circle with a diameter of 32', giving a circumference of ( \pi \times 32 \approx 100.53) feet. Therefore, the total length of the fence needed is approximately (154 + 100.53 \approx 254.53) feet.
Area of a semi circle: (pi*radius2)/2 square feet
-6
Yes.
The perimeter of a full circle (circumference) is "pi" times the diameter. So the perimeter of a semi-circle will be half that; Perimeter = (pi/2) x (diameter).