Find the length s and area A.

The length of the arc is _______ yards.
(Type an integer or decimal rounded to three decimal places as needed.)
The area A of the sector is _______ square yards.
(Type an integer or decimal rounded to three decimal places as needed.)
Find the radius of a circle which has a sector of area 21 square inches determined by a central angle one half radian radian. (type an integer or decimal rounded to three decimal places as needed.) R- _____ inches
A circular sector has an area of 162 in.-. The radius of the circle is 9 in. What is the arc length of the sector? The arc length of the sector is in (Type an integer or a decimal.)
Find the total area of the shaded regions. The total area of the shaded regions is (Type an integer or decimal rounded to three decimal places as needed.)
Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x)-2-x-1,1 (a) The approximated area when using two rectangles is square units (Type an integer or decimal rounded to two decimal places as needed.) (b) The approximated area when...
3 of 14 7x Instructor-created question Find the length s of the arc of a circle of radius 14 meters subtended by the central angle 270°. Find the exact length as a fractional multiple of and the approximate length to three decimal places. Exact arc lengthmeters (Enter a simplified fraction) s (arc length) = 65.973 meters (Round to three decimal places.)
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and ny Assume that the samples are independent, normal and random. Answer parts (a) and (b) H 1 *H2, a=0.02, n = 15, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed)...
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and ny. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). H:44 * 12. a *0.20, n = 6, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as...
Consider the following curve on the given interval. a. Write the integral that gives the area of the surface generated when the curve is revolved around the x-axis. b. Use a calculator or software to approximate the surface area. f(x) = x® on [0,1] 2 a. Write the integral. 1 S= S 26 (29) 1+ (2x)? 0 b. Find the surface area. S៖ (Type an integer or decimal rounded to three decimal places as needed.)
radians. 4 3) For a circle of radius 5m, find the length of the are that subtends an angle of Also, find the area of the sector that is subtended by the same angle. Length of arc Area of sector
Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s | |vIdT. Then find the length of 0 the indicated portion of the curve. The arc length parameter is s(t) (Type an exact answer, using radicals as needed.) Find T, N, and k for the plane curve r(t) (2t+9) i+ (5-t2) j T(t)= (Type exact answers, using radicals as needed.) (Type exact answers, using radicals as needed.)
Find the arc length parameter...