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Task 6

Here, we show 7/12 of the circle's circumference drawn in bold. And we've also shaded 7/12 of the area of the circle.

Sketch the diagram above on your vertical surface. Then answer these questions there:

What is the central angle measure here? What is the length of the bolded arc? What is the area of this sector?

Here, in this circle, we show a portion of the circumference drawn in bold. We also show a fractional amount of the area of this circle shaded.

Sketch the diagram above on your vertical surface. Then answer these questions there:

What is the circumference of this circle? Suppose the length of the thick arc S is approximately 14.818 units long.

  • What percentage of the circumference is drawn in bold here?
  • What is the measure of the central angle (?) here?

Here, the area of this white sector is approximately equal to 25.054 square units.

What is the area of this entire circle? What percentage of the area of the entire circle is shaded here? What is the measure of the central angle here?