Quandaries
and Queries
Name: Abdu
Who is asking: Student
Level: Secondary
Question:
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?
Penny