Areas Related to Circles

Topics in this chapter

• Circle Measures and Formulae
• Sectors, Arcs, and Segments
• Composite and Shaded Regions
• Inscribed Shapes and Area Relations
• Circle Applications and Changes

Cheat sheet

Practice questions

1. Question 1Q-27934B

   If the circumference and the area of a circle are numerically equal, then the radius of the circle is:

   1. A.2 units
   2. B.pi units
   3. C.4 units
   4. D.7 units
   See the answer and solution
2. Question 2Q-C9AB6D

   Find the area of a sector of a circle with radius 6 cm if angle of the sector is $60^\circ$. Use $\pi = \frac{22}{7}$.

   See the answer and solution
3. Question 3Q-754D7E

   The area of the largest triangle that can be inscribed in a semi-circle of radius $r$ is:

   1. A.$r^2$
   2. B.$\frac{1}{2}r^2$
   3. C.$2r^2$
   4. D.$\frac{\sqrt{3}}{4}r^2$
   See the answer and solution
4. Question 4Q-1C9C6C

   If the perimeter of a semi-circular protractor is 36 cm, find its diameter. (Use $\pi = \frac{22}{7}$)

   1. A.7 cm
   2. B.14 cm
   3. C.21 cm
   4. D.28 cm
   See the answer and solution
5. Question 5Q-49EA92

   A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding minor segment. (Use $\pi = 3.14$)

   See the answer and solution