Attempt following question by selecting a choice to answer.
D
A circular park of radius 300 ft has a circular pavement around it. What is the area of the pavement, if the width of the pavement is 2 ft? [Use
π = 3.14]ee DDA.
D3612 ft
2B.
D1214
π ft
2C.
D1204
π ft
2D.
DNone of the above
D
C
Step 1: Area of a circle with radius r = πr2[Formula.]
Step 2: Area of the circular park with radius 300 ft = π(3002).
Step 3: Area of the park along with the pavement = π(r + 2)2 = π(300 + 2)2 = π(3022).
Step 4: Area of the pavement = area of the park along with the pavement - area of the park.
Step 5: Area of the pavement = π(302)2 - π(300)2 = π(3022 - 3002).
Step 6: [(a2 - b2) = (a +b)(a - b).]= π(302 - 300)(302 + 300)
Step 7: [Simplify.]= π(2)(602)
Step 8: = 1204π
Step 9: So, the area of the pavement is 1204π ft2.