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If the area of a circle is A, radius of the circle is r and circumference of it is C, then which one of the true?
Answer & Solution
Correct Answer:
Option
A
Area of circle = A
Radius of circle = r
Circumference of circle = C
πr2 = A . . . . . . (i)
2πr = C . . . . . . (ii)
From equation (i) ÷ equation (ii)
$$\eqalign{ & \frac{{\pi {{\text{r}}^2}}}{{2\pi {\text{r}}}} = \frac{{\text{A}}}{{\text{C}}} \cr & \frac{{\text{r}}}{2} = \frac{{\text{A}}}{{\text{C}}} \cr} $$
rC = 2A
Radius of circle = r
Circumference of circle = C
πr2 = A . . . . . . (i)
2πr = C . . . . . . (ii)
From equation (i) ÷ equation (ii)
$$\eqalign{ & \frac{{\pi {{\text{r}}^2}}}{{2\pi {\text{r}}}} = \frac{{\text{A}}}{{\text{C}}} \cr & \frac{{\text{r}}}{2} = \frac{{\text{A}}}{{\text{C}}} \cr} $$
rC = 2A
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