Arthur D. answered • 04/01/17
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The formula for the area of a regular n-gon, given the radius, is A=(1/2)(r2)(n)(sin[360/n])
A=(1/2)(152)(20)(sin[360/20])
A=(1/2)(225)(20)(sin18º)
A=(1/2)(225)(20)(0.30901699)
A=(10)(225)(0.30901699)
A=(2250)(0.30901699)
A=695.2882275 square units (round as you like)
A=(1/2)(152)(40)(sin[360/40])
A=(1/2)(225)(40)(sin9º)
A=(20)(225)(0.156434465)
A=(4500)(0.156434465)
A=703.9550925 square units (round as you like)
Arthur D.
tutor
Hi Mark from Carson, CA,
I think it's a little bit easier to do if you have a formula and just plug in the values. However, I first had to derive the formula and the derivation is probably a little complicated for the student.
Arthur from Saugus, MA
By the way, you probably know this, but there is a Saugus, Santa Clarita, CA which is named after Saugus, MA. Very interesting.
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04/01/17
Mark M.
Yes, an original parcel of the land was owned by Henry Newhall of Saugus. The city was named after his birth place. It was later incorporated with Newhall (another honor?), Valencia, and Canyon Country to form Santa Clarity.
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04/01/17
Mark M.
04/01/17