The area of the sports field is 10150 square meters and the length of one lap of the track is 400 meters.
<h3>What is the area of the rectangle?</h3>It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Area of the sports field = area of the rectangle + area of the two semicircle
Area of the sports field = 90×70 + π(70/2)²
= 6300 + (22/7)1225
= 6300 + 3850
= 10150 square meters
Length of the track = perimeter of the rectangle + circumference of the
two-semi circle
= 90 + 90 + 2π(70/2)
= 180 + 70(22/7)
= 180 + 220
= 400 meters
Thus, the area of the sports field is 10150 square meters and the length of one lap of the track is 400 meters.
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Answer:
or
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (5,7).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (5,7) and (x,y) = (10,19) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(10 - (5))^2 + (19 - (7)^2 = r^2
(5)^2 + (12)^2 = r^2
25 + 144 = r^2
r^2 = 169
r = 13