babyofthewalk7
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

At your imaginary house (in the future), you have a circular patio with a table in the center of the
circle. You are standing 5-feet from the table. You are also 13-feet from a point of tangency. What is
the approximate diameter of the circular patio?

At Your Imaginary House In The Future You Have A Circular Patio With A Table In The Center Of The Circle You Are Standing 5feet From The Table You Are Also 13fe class=

Sagot :

semsee45

Answer:

24 ft

Step-by-step explanation:

This is modelled as a right triangle with height 5 ft and hypotenuse 13 ft

Base of triangle = radius of circle

Find base length using Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

⇒ 5² + b² = 13²

⇒ 25 + b² = 169

⇒ b² = 169 - 25

⇒ b² = 144

⇒ b = √144

⇒ b = 12 ft

Therefore, if b is 12 ft, then the radius is 12 ft.

Diameter of a circle = 2r (where r is the radius)

⇒ diameter = 2 x 12 = 24 ft
  • Perpendicular=P=5ft
  • Hypotenuse=H=13ft
  • Base=B=radius=?

Apply Pythagorean theorem

[tex]\\ \rm\hookrightarrow B^2=H^2-P^2[/tex]

[tex]\\ \rm\hookrightarrow B^2=13^2-5^2[/tex]

[tex]\\ \rm\hookrightarrow B^2=12^2[/tex]

[tex]\\ \rm\hookrightarrow B=12[/tex]

Radius is 12ft

  • Diameter=2(12)=24ft
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.