The length and breadth of a rectangle is 8 cm and 15 cm. Find the radius of the circumcircle of this rectangle.
Answer:
8.5 cm
- The following figure shows the rectangle ABCD with its circumcircle,
AB and BC are the length and the breadth of the rectangle ABCD and AC is the diameter of the circumcircle of the rectangle ABCD.
According to the question, AB=15 cm,
BC=8 cm. - Now, in the right-angled triangle ABC,AC2=AB2+BC2⟹AC=√AB2+BC2=√(15)2+(8)2=17 cm
- The diameter of the circumcircle of the rectangle =17 cm.
The radius of the circumcircle of the rectangle =172=8.5 cm.