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a. If you wanted to draw a circle around this triangle that passed through points A, B, and C as shown by circle P, what steps would you take to do that? b. What steps would you take to draw a circle within the triangle such that each side of the triangle became a tangent line to the circle as shown by circle R? c. If a line drawn from point B to point P measures 2 inches, what is the diameter, circumference, and area of circle P in terms of I? d. Describe how you would find the area of the region bounded by segment BC and arc BDC in terms of a if the arc measure of arc BDC is 60Β°

Respuesta :

The circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

Steps involved in inscribing a triangle

The steps involved in inscribing a triangle;

  • Construct two chords on the circle.
  • Then , draw a perpendicular bisector to the chords with the compass which must meet at the center of the circle.
  • Make a line from the center to one of the farthest points of Β the chords.
  • Draw two lines to form a 30 degree with the radius on the opposite side.
  • Stretch out these two lines to make two chords on the circle. The two chords should make Β angle of 60 degrees to each other.
  • Then connect the other extreme of the two chords this makes an equilateral triangle.

If the line drawn from point B to point P measures 2 inches, then the diameter is

= Β 2 Γ— 2

= 4 inches.

The formula for calculating the circumference of a circle is given as;

Circumference = 2 Ο€ r

Radius = diameter/ 2

Radius = 4/2 = 2 Inches

Substitute the values

Circumference = 2 Γ— 3. 142 Γ— 2

Circumference = 12. 57 inches

Area = Ο€ rΒ²

Area = 3. 142 Γ— 2Β²

Area = 3. 142 Γ— 4

Area = 12. 57 square inches

Thus, the circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

Learn more about a circle here:

https://brainly.com/question/15673093

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