1000 more than the smallest 4 digit number
2 answers:
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You need to find the circumference of the whole circular pool and then subtract from it the arc length that is 1/4 of the circumference. The circumference formula is C = (3.14)(d), which in our case is 3.14(40) which is 125.6. Now we need the arc length we need to take away. 1/4 of a circle corresponds to a 90 degree angle, so in the formula for arc length, we have this: 
which equals 31.4. Now subtract that from the circumference of the whole circle and you get the outside of the circle minus that arc length. That's 94.2. But we have to go in the radius times 2 to enclose the pie shaped piece we cut away. So we have 134.2. She should've just stuck with enclosing the circle; she would have used less fencing!
Let
using a graph tool
see the attached figure
The figure is a triangle
we know that
<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.
Hero's Formula is equal to
where
p is is half the perimeter of the triangle
a,b,c are the lengths of the sides of a triangle
so
Step
<u>Find the length sides of the triangle</u>
a) <u>Find the distance AB</u>
Substitute
b) <u>Find the distance AC</u>
Substitute
c) <u>Find the distance BC</u>
Substitute
Step
<u>Find the perimeter of the triangle</u>
<u>Find the half of the perimeter </u>
Step
<u>Find the area of the triangle</u>
therefore
<u>the answer is the option </u>
a) 1.65 mi^2.
