Answer:
(1) Area of circular path = 59.66m² (can be rounded to 59.7m² if needed)
(2) Area of the park excluding the platform = 310m²
Step-by-step explanation:
Finding the area of the entire circular park:
Diameter of the park = 20m
radius = 20/2 = 10m
Area of the circular park = πr²
=> 3.14 × (10)² = 3.14 × (10×10) = 3.14 × 100 = 314m²
(1) Finding the area of the path:
so if a platform right inside of the boundary has a width of 1m, then the
diameter of the park will reduce by 1m from both sides as the path runs all around the park and the diameter is a imaginary straight line running right through the centre of the park..just imagine it..
so the total diameter of the entire park = 20m, so excluding the circular path, the new diameter will now be:
20m - (1m+1m , 1m from each side) = 20m-2m = 18m
so using the same area formula but different radius,
new diameter = 18m
new radius = 18/2 = 9m
Area of the park excluding the circular path = πr²
=> 3.14 × (9)² = 3.14 × (9×9) = 3.14 × 81 = 254.34m²
now, Area of path = Area of entire park - Area of park excluding the circular path:
=> 314m² - 254.34m² = 59.66m²(Answer)
(2) Finding the Area of the path excluding the square platform:
let's first find the area of the square -
Area of square = Side × Side
=> 2m × 2m = 4m²
Area of the park excluding the platform = Area of the entire circular park - Area of the Square platform
=> 314m² - 4m² = 310m²(Answer)
Thanks, hope you benefitted from this.