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:
Step-By-Step Explanation:
As we know, the formula for area of the circle is given by,
[tex]A=\pi r^{2}[/tex]
Where, r = radius of the circle. In figure, CD = radius = 18 cm
So, the circle area can be measured as
[tex]A=\pi(18)^{2}=324 \pi \mathrm{cm}^{2}[/tex]
From this, concluding that the circle area depends on radius square and its value is [tex]324 \pi \mathrm{cm}^{2}[/tex]. 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).
