For each problem, find the missing value using the Pythagorean Theorem
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).
Answer:
(or 6.25)
Step-by-step explanation:
Let's do a simple square problem to see the relationship between the elements of the resulting equation...
As you see, the number of 'x' (6) is the double of the numeric part of the binomial expression (3), while the numeric-only part (9) is the square of the numeric part of the binomial expression (3).
So, if we look at the formula from the problem, we see the the number of 'x' is 5. To obtain the C value, we need to divide the 5 by 2... then get the square value of the result.
(or 6.25)