Circumradius example sentences

"Circumradius" Example Sentences

1) The circumradius of the equilateral triangle is equal to the length of its sides.
2) We need to calculate the circumradius of the regular pentagon for the construction.
3) The circumradius of the square is half of its diagonal length.
4) A polygon with a large number of sides has a smaller circumradius than a polygon with fewer sides.
5) The formula for finding the circumradius of a regular polygon is related to its apothem.
6) By knowing the circumradius of a circle, we can find its diameter and vice versa.
7) The circumradius of a right-angled triangle is half the length of its hypotenuse.
8) The circumradius of a trapezium can be determined by using the Pythagorean theorem.
9) The circumradius of an isosceles triangle is equal to half the product of its base and height.
10) The area of a triangle can be calculated using its circumradius and perimeter.
11) The circumradius of a parallelogram can be determined by using its diagonal lengths.
12) The circumradius of an obtuse-angled triangle is outside the triangle.
13) The circumradius of a regular heptagon is related to the golden ratio.
14) The circumradius of a rhombus is half of the length of its diagonals.
15) The circumradius of a regular octagon is related to the square root of 2.
16) The area of a circle can be calculated using its circumradius.
17) The circumradius of a regular hexagon can be found by dividing the side length by the square root of 3.
18) The circumradius of a triangle can be determined by using its side lengths and Heron's formula.
19) The circumradius of a regular dodecagon is equal to its side length.
20) The circumradius of a cyclic quadrilateral passes through its opposite vertices.
21) The circumradius of an equiangular triangle is equal to the square root of 3 times the length of its side.
22) The circumradius of a regular icosahedron is equal to the length of its edges.
23) The circumradius of a right-angled isosceles triangle is equal to its hypotenuse.
24) The circumradius of a regular tetrahedron is related to its edge length and golden ratio.
25) The circumradius of a rectangle is half of its diagonal length.
26) The circumradius of a kite can be determined by using its diagonals.
27) The circumradius of a regular nonagon is related to the square root of 3.
28) The circumradius of a scalene triangle is outside the triangle.
29) The circumradius of a regular icosagon is related to the golden ratio.
30) The circumradius of a convex polygon can be determined by using its side lengths and apothem.

Common Phases

- The circumradius is the radius of the circle that passes through all vertices of a polygon.
- The circumradius of an equilateral triangle is equal to the length of any side divided by the square root of 3.
- For a regular polygon with n sides, the circumradius can be calculated using the formula R = a / (2 x sin(π/n)), where a is the length of a side.
- The circumradius is typically denoted by the letter R.
- The circumradius of a triangle can also be calculated using Heron's formula.
- The circumradius is the distance between the center of the circumscribed circle and any vertex of the polygon.
- The circumradius of a regular hexagon is equal to the length of a side.
- The circumradius of a regular polygon is also equal to half the length of the diagonal of a regular polygon with twice as many sides.