I need the answers for all four questions on that sheet. Including shown work

Answer:1.  8.4 miles2. "I traveled further, by 1.3 miles"3.  10.2 square miles4. 18.8 milesStep-by-step explanation:1.The path traveled is the distance along the circle from Tennis Court to Nature Center. This is part of the circumference, we call it "arc length". The formula for arc length is:Arc Length = [tex]\frac{\theta}{360}*2\pi r[/tex]Where[tex]\theta[/tex] is the angle traversedandr is the radius of the circleFrom Tennis Court to Nature center, the angle is 120 + 40 = 160and radius is given as 3So we substitute and find the answer:[tex]\frac{\theta}{360}*2\pi r\\=\frac{160}{360}*2(3.14) (3)\\=8.4[/tex]So he traveled 8.4 miles2.We follow similar process as #1.From pool to nature center is 45 + 90 = 135 degreesThe radius is still 3 So we substitute into arc length formula and figure her length:[tex]\frac{\theta}{360}*2\pi r\\=\frac{135}{360}*2(3.14)(3)\\=7.1[/tex]So, Friend traveled 7.1 milesSo, I traveled further, by 8.4 - 7.1 = 1.3 miles3.Here, we need Part of Area of the circle, that is basically "area of a sector of a circle". The formula for this is:Sector Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]Where[tex]\theta[/tex]  and  r represents the same.The angle subtended from Ranger Station to Nature Center is 90 + 40 = 130 degreesThe radius is 3So, we put into formula and figure out the area of that part:[tex]\frac{\theta}{360}*\pi r^2\\=\frac{130}{360}*(3.14) (3)^2\\=10.2[/tex]The area is 10.2 sq. mi.4.The total distance of the park (the perimeter) is basically the total length. This is known as the circumference. It has the formula shown below:[tex]C=2\pi r[/tex]WhereC is the circumferencer is the radiusGiven, radius is 3, we put into formula and find our answer:[tex]C=2\pi r\\C=2(3.14)(3)\\C=18.8[/tex]That is, 18.8 miles