A square OABC with the length of a side 6 cm and circle k(O) with a radius 5 cm are given. Which of the lines OA, AB, BC, or AC are secants to the circle k(O)?

Respuesta :

Answer:

OA and AC

Step-by-step explanation:

Just draw it out, and keep in mind that secant means "line that intersects circle in 2 points"

To solve the problem we must know about Secant.

Part 1

The line AC is a secant to the circle k(O).

Part 2

Given to us,

  • A square OABC, length of a side = 6cm,
  • Circle k(O), radius, r = 5 cm,

Solution

  • A square OABC, length of a side = 6cm,

             therefore, OA=AB=BC=CO=6cm

  • Circle k(O), radius, r = 5 cm,

             therefore, OE = 5 cm,

We are looking for the secant line that can cut the circle k(O) at any two points.

As given in the diagram we have shown below, only line AC cuts the circle at two points.

Hence, the line AC is a secant to the circle k(O).

Learn more about Secant:

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