The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area =
<span>
<span>
<span>
209.4395102393
</span>
</span>
</span>
segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412
</span>
</span>
</span>
triangle DEF Area =
<span>
<span>
<span>
173.206
</span>
</span>
</span>
segment area = <span>
<span>
209.4395102393
</span>
-173.206
</span>
segment area =
<span>
<span>
<span>
36.2335102393
</span>
</span>
</span>
segment area =
36.23 m
Source:
http://www.1728.org/circsect.htm
Answer:
In the Garden Club the cost will be a fixed fee of $25 and $10 for each rosebush, so if he buys X rosebushes, the total cost will be:
C1(X) = $25 + $10*X
While in the local nursery there is no initial cost, and each rosebush costs $15, so if he buys X rosebushes, the total cost will be:
C2(X) = $15*X
Now, let's find the value of X where C1 and C2 are equal, this is:
$25 + $10*X = $15*X
$25 = $15*X - $10*X = $5*X
X = 25/5 = 5
This means that if he buys 5 rosebushes, he will pay the same amount in both places.
If he buys less than 5 rosebushes, he will pay less in the local nursery (as it has a bigger slope, but no initial fee)
If he buys more than 5 rosebushes, he will pay less in the Garden club (because it has a smaller slope)
Since the length of each side of cube is s.
Volume of a cube = s³ = s*s*s
Since length of side = 6cm
Volume = 6³ = 6*6*6 = 216
Volume = 216 cm³
Option A.
Divide the long leg by the square root of 3 to find the short leg. Double that figure to find the hypotenuse.
