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Jaheem has been given two mixed-up puzzles; one is a semicircle and the other is a circle.
One of the sectors is missing.
What is the size of the central angle of the missing sector?
80°
00
27°
63°
124°
O
Not to scale

Sagot :

GinnyAnsweridn
To determine the size of the central angle of the missing sector in Jaheem's given puzzles, we need to consider the possible angles provided: 80°, 0°, 27°, 63°, and 124°.

Here’s the step-by-step reasoning:

1. Identify the Total Degrees:
- A circle has 360 degrees.
- A semicircle has 180 degrees.

2. Consider the Angle Constraints:
- Any sector within a circle will have an angle less than or equal to 360 degrees.
- Any sector within a semicircle will have an angle less than or equal to 180 degrees.

3. Evaluate Each Possible Angle:
- 80°: This angle is valid for both the circle and the semicircle.
- 0°: This represents the absence of a sector, which might imply no contribution to the total angle.
- 27°: This angle is valid for both the circle and the semicircle.
- 63°: This angle is valid for both the circle and the semicircle.
- 124°: This angle is valid for both the circle and the semicircle.

4. Determine the Largest Angle:
- Among the valid angles listed above, the largest one is 124°.

Therefore, the size of the central angle of the missing sector is 124°.
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