Activity 2.3: Solve the following problems. 1. Suppose that the only house in the barrio is exactly located at the center of a circular field. If a researcher needs to reach the central part of the field, and assuming that the center of the field is at (0, 0) and his starting point is at (-135,243): a) Approximately, how far does the researcher need to travel from his starting point to the nearest house (in meters)? b) What is the equation of the circle in its standard form? 2. A circular driveway is bounded by two circles. The equation of the larger circle is x + y = 289, while the smaller circle is x? + y? = 196. What is the difference between the area of the larger circle and the smaller circle? 3. The equation r+ y' = 4000 represents the circle formed by the inner lane of a circular running track where all measurements are expressed in foot measure. If an athlete needs to run around the track's inner lane thrice, then approximately how many feet does he cover? 4. A circular driveway is bounded by two circles. The radius of the larger circle is 60 feet and the radius of the smaller circle is 43 feet. Use the coordinate system to write the general form of the equation of the a) larger circle and b) smaller circle assuming that the center is located at (0, 0). 5. A particular Tel. Co. tower is designed to service an 8-mile radius, The tower is located at (-2,4) on a coordinate plane whose units represent miles. What is the general equation of the outer boundary of the region serviced by the tower