Multiple choice

The area of the circle touching y- axis and the line $x = c$ is ......sq. units with center lying on the x-axis.

  1. $\pi \mathrm{c}^{2}$
  2. $\displaystyle \frac{\pi \mathrm{c}^{2}}{4}$
  3. $\displaystyle \frac{\pi \mathrm{c}}{2}$
  4. $\displaystyle \frac{\pi}{4\mathrm{c}^{2}}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A circle touching the y-axis (x=0) and the line x=c has a diameter of c. Thus, the radius is c/2. The center lies on the x-axis, so the center is at (c/2, 0). The area is pi * r^2 = pi * (c/2)^2 = pi * c^2 / 4.

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