Area & Perimeter of Sector

[nycmathguy]

Can you do 27 (a & b)? I will do 28.

 

[MathLover1]

27.

a.
perimeter=2r+arc length

angle is 30 degrees and arc length is fraction of the circle perimeter
fraction of the circle is 30/360=1/12, fraction of the perimeter is (2r*pi)/12

arc length=(2*5pi)/12=2.617

then, perimeter=2*5+2.617=12.617
b.
area will be fraction of the circle *r^2*pi
fraction of the circle is 30/360=1/12

area
A=(1/12)(5in)^2*pi
A=(1/12)*25in^2*pi
A=6.55in^2

 

[nycmathguy]

27.

a.
perimeter=2r+arc length

angle is 30 degrees and arc length is fraction of the circle perimeter
fraction of the circle is 30/360=1/12, fraction of the perimeter is (2r*pi)/12

arc length=(2*5pi)/12=2.617

then, perimeter=2*5+2.617=12.617
b.
area will be fraction of the circle *r^2*pi
fraction of the circle is 30/360=1/12

area
A=(1/12)(5in)^2*pi
A=(1/12)*25in^2*pi
A=6.55in^2

Thank you so much. I will work on 28 and show my work on paper when time allows.