The length and breadth of a rectangle is 8 cm8 cm and 15 cm15 cm. Find the radius of the circumcircle of this rectangle.


Answer:

8.5 cm8.5 cm

Step by Step Explanation:
  1. The following figure shows the rectangle ABCDABCD with its circumcircle,

    ABAB and BCBC are the length and the breadth of the rectangle ABCDABCD and ACAC is the diameter of the circumcircle of the rectangle ABCDABCD.
    According to the question, AB=15 cm,AB=15 cm,
    BC=8 cm.BC=8 cm.
  2.  Now, in the right-angled triangle ABC,AC2=AB2+BC2AC=AB2+BC2=(15)2+(8)2=17 cm
  3. The diameter of the circumcircle of the rectangle =17 cm.
    The radius of the circumcircle of the rectangle =172=8.5 cm.

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