4. A lawn sprinkler located at the corner of a yard is set to rotate through 90 and project water out 30 feet. What is the area of lawn watered by the sprinkler? Round your answer to the nearest foot.5. A point P on a circle rotates through 3 IT 4 radians in 3 seconds. Find the angu- lar velocity of P. Write your answer as an exact value. 6. A bicycle when with a radius of 13 inches turns with an angular velocity of 3 radians per second. Find the distance traveled by a point on the bicycle tire in 1 minute.2. Suppose you are 50 feet from the base of a tree that is standing straight up. You measure the angle of elevation to the top of the tree is 52. How tall is the tree to the nearest foot