To find:The area of a regular nonagon inscribed in a circle.
The area of a regular nonagon inscribed in a circle is
Given information:
The radius of the circle is
Formula used:
Law of Cosines is
Area of triangle using Heron’s formula is
Calculation:
An inscribed nonagon is made of
Substitute
Calculate the semi-perimeter
Substitute
Calculate the area of triangle using Heron’s formula
Substitute
Calculate the area of the nonagon
Therefore, the area of a regular nonagon inscribed in a circle is
Chapter 5 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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- 4. Suppose that the population of a certain collection of rare Brazilian ants is given by P(t)=(t+100) In(t+2), Where t represents the time in days. Find and interpret the rates of change of the population on the third day and on the tenth day.arrow_forwardFind all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal. 5. Find the slope of the tangent line to the graph of f(x)=-√8x+1 at x=1. Write the equation of the tangent line.arrow_forward3. Find the derivative of each function. Label with appropriate derivative notation showing both dependent and independent variables. f(t)=4t(2t⭑+4)³ a. f(t)=4t (2t+4)³ (Answer must be factored.) b. y= 3 1 (2x³-4) 6arrow_forward
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