An oil tanker has hit a sand bar and ripped a hole in the hullof the ship. Oil has begun leaking from the tanker. The oil isleaking from the ship forming a circle around it. The radius of thecircle is increasing at a rate of 2.3 feet per hour. Please assistthe Wild Life Federation with the following calculations. Thank youin advance for your assistance. (Round all answers to the nearesttenths place unless otherwise specified, use the ? button on yourcalculator for calculations.) 1) A) Write the radius of the circleas a function of time. Use t as the symbol to represent time (youwill need to use the information found in the news clip above.) B)What is the radius of the circle after 2 hours? C) What is theradius of the circle after 2.5 hours? D) If the oil tanker is 250yards from shore, when will the oil first reach the shoreline?(Remember to convert to feet) 2) Write the area of the circle as afunction of the radius. Use the symbol r to represent the radius.3) A) Using the functions found in questions 1 and 2, write afunction that represents area as a function of time. B) What is thearea of the circle after 2 hours? C) What is the area of the circleafter 2.5 hours? D) What is the area of the circle after 3 hours?E) What is the area of the circle after 3.5 hours? Math 171 Unit 1Lab 4) Compute the average rate of change per hour for the areafrom 2 to 2.5 hours. 5) Compute the average rate of change per hourfor the area from 3 to 3.5 hours. 6) Based upon the results foundin questions 4 and 5 what is happening to the average rate ofchange of the area of the circle as time passes? (Increasing,Decreasing, Constant?) 7) If the tanker is 250 yards from theshore, how long will it be until 8 miles of shoreline iscontaminated with oil? Round to the nearest number of days. (Forthe benefit of this problem, the shore is straight and if you wereto draw a line perpendicular to the shore 250 yards you would findthe boat, the spread will be 4 miles to either side of the ship,refer to the diagram below. Hint 1mi=5280 ft.) A) Use the figurebelow and find the length of the radius in feet. B) Using yourformula from problem 1A, find the time in hours. C) The originalquestion asks for the time measured in days. Convert your answerfrom 7B to days, rounding to the nearest number of days. RadiusRadius 250 yds 4 miles 4 miles