A circle with area \blue{100\pi}100πstart color #6495ed, 100, pi, end color #6495ed has a sector with a central angle of \purple
{\dfrac{2}{5}\pi} 5
2
πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .
What is the area of the sector?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal
First, we need to find the radius from the circle with the area 100pi. The formula for area of a circle is pi*r^2 pi*r^2= 100pi We can eliminate the both pi since they are on both sides of the equation. This means r^2=100, and r= the square root of 100, which is 10.
Now we know the radius is 10, we can plug it into the equation for arc sector area- (n is the central angle, replace n with the central angle) n/360 * 2*pi*r n/360 * 2*pi*10 n/360 * 20pi
The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.
