A Fibonacci spiral is created by drawing and connecting arcs of radian measure p

Question

A Fibonacci spiral is created by drawing and connecting arcs of radian measure pi/2. The radii of the arcs increase according to the Fibonacci sequence (1, 1, 2, 3, 5,000). The diagram shows the first 5 arcs of the Fibonacci spiral. Calculate the combined length of the first 5 arcs of the spiral in terms of pi. A triangle has sides of length 5 and 8. The measure of the angle included between these two sides is 105 degree. To the nearest tenth, calculate the area of the triangle, and the length of the third side. Area = _____ 3rd side = _____ In Delta ABC, b = 5 and c = 4. The area of the triangle is 15 Squareroot 7/4. To the nearest tenth, calculate a and m A (in degrees). a = _____ m A = _____

Explanation / Answer

Circumference of the circle is given as 2r

Here the arc is one fourth of the circumference

hence the total length is 2(r1 + r2 +r3 + r4+ r5) /4 = (1+1+2+3+5)/2 = 6

As per chegg norms one question to be answered post rest questions as seperate ones

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