Is the area of circle greater than area of triangle?

And since the total side length is greater than the circumference, the polygon consists of n identical triangles with total area greater than T. Therefore, it must be the case that the area enclosed by the circle is precisely the same as the area of the triangle.

What shape has the largest area for a given perimeter?

A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four to find the length of each side. Then find the area by multiplying the length times the width.

Why is the area of a circle bigger than the area of a square?

The area of a circle is πr2 , where r is the radius of the circle. But r = P/(2π), where P is the perimeter of the circle. But s = P/4, so the area of a square is P2 /16. Since 1/(4π) > (1/16), the circle has more area than the square.

What is the relation between circle and triangle?

In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle’s incenter.

Which shape has the largest perimeter square or circle?

The shape which has the largest area with a fixed perimeter is the circle, in comparison to the triangle, square and other polygons.

Can the perimeter be bigger than the area?

The perimeter is always bigger except for one (Shape G). The area and perimeter are the same. The same happened if there you have a rectangle that has a length of 6 and a width of 3. Table 3 (they didn’t give their school) looked at finding a shape which has a perimeter numerically twice the area.

Which has largest perimeter?

Of the three polygons: circle, triangle and square, having the same area, it would be the equilateral triangle which has the largest perimeter .