ALWAYS FAN AND MEDAL
A lawn sprinkler rotates 60 degrees to water the grass. If the sprinkler reaches 15 feet away , what is the area of the sector of grass that gets watered?

Question

ALWAYS FAN AND MEDAL 
A lawn sprinkler rotates 60 degrees  to water the grass. If the sprinkler reaches 15 feet away , what is the area of the sector of grass that gets watered?

anonymous · Answer

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anonymous · Answer

total area of the circle is $\pi r^2=\pi\times15^2$

anonymous · Answer

what portion do you have?

anonymous · Answer

if the answer is not clear, recall that there are a total of 360 degrees in the circle

anonymous · Answer

everything that's up there. Is 15 the radius?

anonymous · Answer

yes 15 is the radius

anonymous · Answer

$$15^{2}= 225$$

anonymous · Answer

ok but you don't have the full circle whose area is $225\pi$ you only have a portion of it

anonymous · Answer

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anonymous · Answer

$$225\times \pi = 706.8583470577$$

anonymous · Answer

but, i repeat, that is the entire circle , you only have a part of it

anonymous · Answer

But its only asking for the area of that specific portion of grass