Sector area= theta/360 x πr^2
Radius= 24/2= 12
Sector area= 120/360 x π(12)^2
Final answer :
Sector area = 48π
<em>x</em>/<em>r</em> + <em>x</em>/<em>w</em> + <em>x</em>/<em>t</em> = 1
<em>x</em> (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>) = 1
<em>x</em> = 1 / (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>)
To make the solution a bit cleaner, multiply through the numerator and denominator by the LCM of each fraction's denominator, <em>rwt</em> :
<em>x</em> = 1 / (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>) • <em>rwt</em> / <em>rwt</em>
<em>x</em> = <em>rwt</em> / (<em>rwt</em>/<em>r</em> + <em>rwt</em>/<em>w</em> + <em>rwt</em>/<em>t</em>)
<em>x</em> = <em>rwt</em> / (<em>wt</em> + <em>rt</em> + <em>rw</em>)
The formula for percent error is:
((Approximate value - exact value) / exact value) x 100
1) 14-12 = 2
2/12 = 0.1666
0.166 x 100 = 16.7% (Rounded to nearest tenth)
2) 231 - 215 = 16
16/215 = 0.74419
0.74419 x 100 = 7.4419% ( Round as needed)
3) 17.1 - 16.5 = 0.6
0.6/16.5 = 0.36364
0.36364 x 100 = 3.6364% (Round off as needed)
4) 1081 - 1150 = -69
-69/1150 = -0.06
-0.06 x 100 = -6% = 6% error
