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Find the measure of the arc.А1460EB.MABC = [ ? ]°

Find The Measure Of The ArcА1460EBMABC class=

Sagot :

The measure of the arc m ABC is given by the central angles:

mBC = 360 - (146 + 90) (We have a right angle in the figure).

mBC = 360 - (236)

mBC = 124

The total length of the circle is the circumference:

C = 2*pi * r

If we use for pi = 22/7 (approximation)

Then the arc is given by the fraction that multiplies C:

(2 * pi * r) (mBC+m/360) =

Because 2/360 = 180, we have:

( pi * r) * (124/180)

(22/7) * r * (124/180)

Simplifying the fraction 124/180 by 4 (this is the greatest common divisor), we have:

22/7 * r * 31/45

Then, the measure for the arc is given by (a function of r):

m

22/7 * r * 31/45

For instance, if r = 3, then

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