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Tenth Grade (Grade 10) Circles Questions

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Grade 10 Circles CCSS: HSG-MG.A.2
A piece of land, in the shape of a circle with a diameter of 10 ft, has about 15 worms on it right now. What is the density of worms on this circle of land, rounded to two decimal places?
  1. 0.05 worms per square foot
  2. 0.19 worms per square foot
  3. 1.50 worms per square foot
  4. 1178.10 worms per square foot
Grade 10 Circles
For each part of the circle listed below, choose ALL of the properties which are true about it.
Always intersects the center of the circle Touches only ONE point on the circle Can form inscribed angles
Radius
Diameter
Tangent
Chord
Grade 10 Circles CCSS: HSG-C.A.4
Which line segment is tangent to circle O?
Circle ABCD
  1. [math]bar(AB[/math]
  2. [math]bar(AC[/math]
  3. [math]bar(AD[/math]
  4. [math]bar(AO[/math]
Grade 10 Circles
If chord AB passes through the center of the circle, what is its name?
Circle with Diameter AB
  1. the radius
  2. the diameter
  3. the chord
  4. the line segment
  5. the midline
Grade 10 Circles
What can you tell about segment AB?
Circle with Chord AB
  1. If AB were a part of a line it could be called a secant segment.
  2. AB is a line segment.
  3. All of the above
  4. None of the above
Grade 10 Circles
In circle O, which is the chord?
Circle ABCD
  1. AB
  2. OD
  3. AC
  4. AO
Grade 10 Circles
What is the name of this segment drawn on the circle?
Circle with Radius
  1. diameter
  2. half-diameter
  3. radius
  4. midline
  5. chord
Grade 10 Circles CCSS: HSG-C.A.1

This question is a part of a group with common instructions. View group »

If the two circles' radii are congruent, can the circles still be shown to be similar?
  1. No, since they are congruent.
  2. No, since there exists no scale factor that will dilate one circle onto the other.
  3. Yes, since all congruent shapes are similar (with scale factor 1).
  4. Yes, since congruent radii means they have the same area, and any shapes with equal areas are similar.
Grade 10 Circles
Which is an inscribed angle?
Circle ABCD
  1. [math]ang CAB[/math]
  2. [math]ang ADO[/math]
  3. [math]ang DAB[/math]
  4. [math]ang BOD[/math]
Grade 10 Circles
A line in the plane of a circle that intersects the circle in exactly one point.
  1. perimeter
  2. circumference
  3. bisector
  4. tangent
Grade 10 Circles
If point A is equidistant from all of the points in the circle, what is point A called?
Circle with Center Point A
  1. the midpoint
  2. the focus
  3. the center
  4. the point
  5. the middle
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