Question

Which statements are true regarding the area of circle

D? Select two options

18 cm

The area of the circle depends on the square of the

radius

The area of circle D is 36

cm

The area of circle Dis 3240 cm?

The area of the circle depends on the square of pi.

The area of the circle depends on the central angle

Answer 1

A and C

Explanation:

Answer 2

Question:

Which statements are true regarding the area of circle D? Select two options.

The area of the circle depends on the square of the radius.

The area of circle D is 36Pi centimeters squared.

The area of circle D is 324Pi centimetres squared

The area of the circle depends on the square of pi.

The area of the circle depends on the central angle.

Answer:

The following statements are true regarding the area of circle D:

• The area of the circle depends on the square of the radius
• The area of circle D is 324Pi centimeters

Explanation:

As we know, the formula for area of the circle is given by,

`A=\pi r^(2)`

Where, r = radius of the circle. In figure, CD = radius = 18 cm

So, the circle area can be measured as

`A=\pi(18)^(2)=324 \pi \mathrm{cm}^(2)`

From this, concluding that the circle area depends on radius square and its value is
`324 \pi \mathrm{cm}^(2)`. Hence, the statement given in option A and C are correct (reveals that option B is incorrect).

As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).