Determine the arc length of ij. round your answer to two decimal places.

From the picture, we can tell that arc IJ has a central angle of 160° and that the circle has a diameter of 14 cm, or a radius of 7 cm.

Remember that the formula for arc length is:

We are almost able to find the arc length, but 160° is not in radians, which it has to be in order for us to properly use the formula. In order to convert it to radians, multiply the degree measure by .

Now, we can use the formula:

The answer is approximately 19.55.

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.