Quiz: Area of a Sector
1 answer:
Answer:
97 cm²
Step-by-step explanation:
The complete question is attached.
The circle has a diameter of 12 m. The radius of the circle = diameter/2 = 12/2 = 6 cm.
The area of the circle = πr² = π × 6² = 113 cm²
To find the area of the shaded portion we have to find the area of sector and subtract it from the circle area.
The angle of the sector (θ) = 360 - 310 = 50°
Area of shaded portion = Area of circle - Area of of sector = 113 - 16 = 97 cm²
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Answer:
The future value of this initial investment after the six year period is $2611.6552
Step-by-step explanation:
Consider the provided information.
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.
Future value of an investment:
Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.
9% compounded semiannually for 6 years.
Therefore, the value of r is:
Number of periods are: 2 × 6 = 12
Now substitute the respective values in the above formula.
Hence, the future value of this initial investment after the six year period is $2611.6552