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notka56 [123]
3 years ago
8

Part of a school’s stage is shaped like a sector of a circle, as shown below. The students do not yet know the exact dimensions

of this part of the stage, but they want to identify as many relationships as possible so that they will be able to decorate this part of the stage when the dimensions are available.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer:

  • 68.78° or 0.6 rad

Step-by-step explanation:

<u>Use the formula:</u>

  • degrees/360° = L/circumference
  • or
  • radians/π = L/circumference

<u>As per given:</u>

l = 12 feet, r = 10 feet

  • degrees = 360°*12/(2*3.14*10) = 68.78°
  • radians = π rad *12/(2π*10) = 0.6 rad
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In circle J with m \angle HJK= 92m∠HJK=92 and HJ=9HJ=9 units find area of sector HJK. Round to the nearest hundredth.
Diano4ka-milaya [45]

Answer:

65.03square units.

Step-by-step explanation:

Find the diagram in the attachment below.

Area of the sector HJK = theta/360° × πr²

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Substituting the given values in the formula:

Area of sector HJK = 92°/360° × π(9)²

Area of sector HJK = 23,399.28/360

Area of sector HJK = 65.03 square units to nearest hundredth

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