The formula to calculate the Circumradius of Isosceles Trapezoid is:
\[ r_{c} = \frac{l_{e(Lateral)} \cdot \sqrt{(B_{Long} \cdot B_{Short}) + l_{e(Lateral)}^2}}{\sqrt{(4 \cdot l_{e(Lateral)}^2) - (B_{Long} - B_{Short})^2}} \]
Circumradius of Isosceles Trapezoid is the radius of the circumcircle of the Isosceles Trapezoid or the radius of the circle that contains the shape with all vertices lying on the circle. Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non-parallel edges of the Isosceles Trapezoid. Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid. Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.
Let's assume the following values:
Using the formula:
\[ r_{c} = \frac{5 \cdot \sqrt{(15 \cdot 9) + 5^2}}{\sqrt{(4 \cdot 5^2) - (15 - 9)^2}} = 7.90569415042095 \]
The Circumradius is 7.90569415042095 Meters.
| Lateral Edge (Meters) | Circumradius (Meters) |
|---|---|
| 4.5 | 8.358379029453019 |
| 5 | 7.905694150420949 |
| 5.5 | 7.668739063466002 |