ABCD Is a rectangle that represents a park.
The lines show all the paths in the park.
The circular path is in the centre of the rectangle and has a diameter of 15m.
Calculate the shortest distance from A to C across the park, using only the lines shown.

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Any help would be greatly appreciated, Thx!

Diameter of circle is two times of its radius.

The shortest distance from A to C across the park is 102.91 meters.

Given that,  length of the park is 80 m.

  AC = 80 m

and  breadth of the park is 50 m.

    CD = 50 m

In right triangle ADC apply Pythagoras theorem

 We have to calculate the shortest distance from A to C across the park that pass only through the lines shown in diagram.

So, we have to subtract the diameter of 15 m from AC

Shortest distance is = 79.34 + half of circumference of circle.

Since, diameter of circle = 15 m,  radius(r)

Value of ,

The circumference of the circle =

Half of the circumference,

Thus, Shortest Distance from A to C passing through circumference is,

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Shortest distance from A to C = 102.9005 m.

Step-by-step explanation:

It is given that, ABCD is a rectangular park.

The length of the park is 80 m.

The breadth of the park is 50 m.

The diameter of the circle = 15 m.

We have to calculate the shortest distance from A to C across the park.

The distance AC = = 94.339 m.

As one has to pass only through the lines shown, he cannot pass through the circle.

So, we have to subtract the diameter of 15 m from AC

=> 94.339 m - 15 m = 79.339 m.

One must pass through either half of the circumference of the circle.

Since, diameter of circle = 15 m, its radius(r) = = 7.5 m.

The circumference of the circle = 2×π×r = 47.123 m.

Half of the circumference = = 23.5615 m.

Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.

As we have to calculate the shortest distance from A to C, one cannot pass  from A to C either through B or D,

since the distance ABC or ADC = 50+80 = 130 m.

Therefore, shortest distance from A to C = 102.9005 m.

hi,

3. 12.15, you are correct.

4.2.01, your first digit is correct,

hope this !

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,