If P is the center of the given circle, what fraction of the circle is shaded?
A
1/15
B
1/4
C
5/6
D
1/6
Correct Answer: 1/6
Area covered by any angle to center of a corcle is <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>θ</mi><msup><mn>360</mn><mo>∘</mo></msup></mfrac><mo>×</mo><msup><mi>πr</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mo> = </mo><mfrac><msup><mn>60</mn><mo>∘</mo></msup><msup><mn>360</mn><mo>∘</mo></msup></mfrac><mo>×</mo><msup><mi>πr</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mo> = </mo><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>×</mo><msup><mi>πr</mi><mn>2</mn></msup></math>