Quandaries and Queries


Name: Abdu

Who is asking: Student
Level: Secondary

A rectangle ABCD is inscribed in a circle. If the length of AB is 5 and length of BC is 12, what is the area of circle outside the rectanlge ABCD?

A 40.8
B 53.1
C 72.7
D 78.5
E 81.7



Hi Abdu,

Draw a diagram.

The rectagle is 5 units by 12 units so its area is 5 12 = 60 square units.

To find the area of the circle you need its radius. The line CA is a diameter of the circle and triangle ABC is a right triangle so you can use Pythagoras' theorem to find the length of CA.

Can you finish the problem now?



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