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Mariana [72]
2 years ago
12

Which statements are true regarding the area of circle

Mathematics
2 answers:
Pavlova-9 [17]2 years ago
6 0

<u>Question:</u>

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.

<u>Answer:</u>

<u>The following statements are true regarding the area of circle D: </u>

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

<u>Step-By-Step Explanation:</u>

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).

nadya68 [22]2 years ago
3 0

Answer:

A and C

Step-by-step explanation:

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