Hera spent $16 on dinner then she spent $6 on dessert and some more on a taxi ride including the taxi fair she spent a total of
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Hello!
The formula for the area of a sector can be written as follows:
Area =
(R)
In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:
1 degree =
radians
Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:
72 degrees =
Reduce the fraction on the right side of the equation:
72 degrees =
We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:
Area =
()
Simplify the right side of the equation to get the following answer:
Area = 20 pi
We have now proven that the area of one sector is equal to 20 pi.
If, however, you need the combined area of the two identical sectors, simply multiply the proven area by 2 to get a total area of 40 pi.
I hope this helps!
The formula for the area of a sector can be written as follows:
Area =
In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:
1 degree =
Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:
72 degrees =
Reduce the fraction on the right side of the equation:
72 degrees =
We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:
Area =
Simplify the right side of the equation to get the following answer:
Area = 20 pi
We have now proven that the area of one sector is equal to 20 pi.
If, however, you need the combined area of the two identical sectors, simply multiply the proven area by 2 to get a total area of 40 pi.
I hope this helps!
<h3>Given:</h3>
- P= $12500
- R= 10%
- T= 3 years
- P= Principal amount
- R= Rate of interest
- T= Time period
- The simple interest
- The total amount paid
First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).
Now, we'll have to divide the amount (375000) by 100.
<em>I=$3750</em>
Now, we can find the total amount paid.
Let's substitute according to the formula.
<em>A=$16250</em>
<u>Therefore</u><u>,</u><u> </u><u>simple</u><u> </u><u>interest</u><u> </u><u>is</u><u> </u><u>$</u><u>3</u><u>7</u><u>5</u><u>0</u><u> </u><u>and</u><u> </u><u>$</u><u>1</u><u>6</u><u>2</u><u>5</u><u>0</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>in</u><u> </u><u>total</u><u>.</u>