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Algebra/Maths- sectorsof circles asap help!

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Question
hi.
i have a question from a text book that i'd like some help with


the radius of a circle is 10 Cm, so is the arc length of a sector. what is the size of the sector area? please could you explain how to work this out as I've attempted but i'm having trouble it. thank you

Answer
Hello,

One way is to use L=r*theta, where L=arclength, r=radius,
and theta=angle of the sector (in radians).  Thus, 10 cm = (10 cm)*theta
==> theta = 1 radian
Now we can use the formula A=(1/2)*theta*r^2 = (1/2)*1*10^2 = 50 cm^2

OK?

Abe

Algebra

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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