The picture in the attached figure
we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]
step 1Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²
step 2find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²
step 3the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²
therefore
the answer isthe area of the shaded region is 44.22 units²
Answer:
4
Step-by-step explanation:
If each of 12 kids ate 1/3 of a pizza, the amount eaten was ...
12 × 1/3 pizza = 12/3 pizza = 4 pizza
Dominic needed to buy 4 pizzas.
Answer:
<BAC=19
Step-by-step explanation:
<AOB=<DOC=142
<BAC=<ABD
2<BAC=180-142
2<BAC=38
<BAC=38/2
<BAC=19
Step-by-step explanation:
Let n be the number of nickels that Casey has.
We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.
Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.

Therefore, the expression
will represent the total number of nickels that Casey and Megan have .
Upon combining like terms we will get,


Therefore, Casey and Megan have 5n nickels.