Which of the following illustrates the truth value of the given statements?
1 answer:
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<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,
Where, r = radius of the circle. In figure, CD = radius = 18 cm
So, the circle area can be measured as
From this, concluding that the circle area depends on radius square and its value is . 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).
