Find a formula for the nth term in this arithmetic sequence. a1=0, a2=0.5, a3=1, a4=1.5
1 answer:
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Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.
Normally, to find the area of a circle you'd do π × 
so you have to find the radius by dividing 5 by 2 to get 2.5. Approximating pi as 3.14, you would do 3.14 × 
= 19.625. Because the porch is a quarter circle, you would then divide this by 4 to get 4.906. Rounded to the nearest square foot, your answer would therefore be 5 ft. I hope this helps!