MYP Standard Mathematics 3.2 Circle Properties Questionbank

A windshield wiper is $40\text{ cm}$ long and rotates through an angle of $150^{\circ}$. Calculate the area of the windshield swept by the wiper.

A circle has a radius $r = 8 \text{ cm}$. A chord subtends a central angle of $\theta = 90^{\circ}$. Calculate the length of the chord $c$.

The area of Sector A is twice the area of Sector B

The area of Sector B is four times the area of Sector A

The area of Sector B is twice the area of Sector A

The areas of Sector A and Sector B are equal

True

False

$12\text{ cm}^2$

$12\pi\text{ cm}^2$

$6\text{ cm}^2$

$24\text{ cm}^2$

$\dfrac{2000\pi}{3} \text{ cm}^2$

$1600\pi \text{ cm}^2$

$400\pi \text{ cm}^2$

$\dfrac{1000\pi}{3} \text{ cm}^2$

$16 \text{ cm}$

$8 \text{ cm}$

$8\sqrt{2} \text{ cm}$

$4\sqrt{2} \text{ cm}$