Problem 661

Find the length s of the arc of a circle of radius 85 centimeters subtended by the center angle . Solution:- A central angle is an angle whose vertex is…

Problem 660

Find the central angle which subtends an arc of length 53 miles of a circle of radius 51 miles.   Solution:- A center angle is a angle whose vertex is…

Problem 659

Find the length s of the circle of radius 75 meters subtended by the center angle radian. Solution:- A center angle is an angle whose vertex is at the center…

Problem 657

Convert the angle in degrees to radians.   Solution:- Consider a circle of radius r. A center angle of 1 revolution (360 degree ) will subtend an arc equal to…

Problem 656

If a particle has a speed of r feet per second and travels a distance d ( in feet) in  time t (in second), than d = ?   Solution:- …

Problem 655

What is the formula for the circumference C of a circle of radius r? What is the formula for area A of a circle of radius?   Solution:-   The…

Problem 654

Find an equation for the plane y = 5x  in cylindrical coordinates.?   Solution:-   x = r cosΘ y = r sinΘ z = z r sinΘ = 5rcosΘ…

Problem 653

Find the appropriate angle between the vectors. u = (3, -5, 2), and (-9, 5, 1)   Solution:-   To find the angle we use the identity =