Question

question 32 of 44 which point represents the center of the circle shown below? a. point m b. point k c. point t d. point r

Explanation:

Step1: Recall the definition of a circle's center

The center of a circle is the point equidistant from all points on the circle's circumference. Also, in a circle, the center lies on the perpendicular bisector of any chord, and the line from the center to a point on the circle is a radius.

Step2: Analyze the points

• Point \( M \), \( T \), and \( R \) are on the circumference of the circle (they lie on the circle's edge), so they can't be the center.
• Point \( K \) is inside the circle, and looking at the segments (like \( MK \), and the line through \( K \) and \( R \), \( T \)), \( K \) should be equidistant from \( M \), \( R \), and \( T \) (since \( MK \) seems to be a radius - like segment, and \( KR \), \( KT \) would also be radii). So \( K \) is the center.

Answer:

B. Point \( K \)