Find the perimeter of a quadrant with radius 3.5cm?

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Answer 1 · 2018-06-17T20:01:46

#color(blue)((28+7pi)/4~~12.49778714)#

A quadrant is a sector with a subtended angle of #pi/2#. To find the perimeter we add twice the radius and the arc length together.

Arc length is given by:

#rtheta#

Where #theta# is measured in radians.

#:.#

#"Arc length"=(7/2)*(pi/2)=7/4pi#

Perimeter is:

#2*7/2+(7pi)/4=(28+7pi)/4~~12.49778714#