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In a circle with center O, central angle AOB has a measure of 5π/4 radians. The area of the sector formed by central angle AOB is what fraction of the area of the circle?
Correct answer is '.625'. Can you explain this answer?
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In a circle with center O, central angle AOB has a measure of 5π/4 ...
The correct answer is _5 8 or .625.
A complete rotation around a point is 360° or 2π radians.
Since the central angle AOB has measure 5π/4 radians, it represents
= 5/8 of a complete rotation around point O.
Therefore, the sector formed by central angle AOB has area equal to 5/8 the area of the entire circle.
Either the fraction 5/8 or its decimal equivalent, .625, may be gridded as the correct answer.
A complete rotation around a point is 360° or 2π radians.
Since the central angle AOB has measure 5π/4 radians, it represents
= 5/8 of a complete rotation around point O.Therefore, the sector formed by central angle AOB has area equal to 5/8 the area of the entire circle.
Either the fraction 5/8 or its decimal equivalent, .625, may be gridded as the correct answer.
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In a circle with center O, central angle AOB has a measure of 5π/4 ...
In a circle with center O, a central angle AOB refers to an angle that has its vertex at the center of the circle (point O) and its legs (rays) passing through two points on the circumference of the circle (points A and B).
The measure of a central angle is defined as the angle between the two radii (OA and OB) that form the angle. The measure is usually given in degrees or radians.
In this case, the central angle AOB has a measure of 5. However, it is not specified whether the measure is given in degrees or radians.
The measure of a central angle is defined as the angle between the two radii (OA and OB) that form the angle. The measure is usually given in degrees or radians.
In this case, the central angle AOB has a measure of 5. However, it is not specified whether the measure is given in degrees or radians.
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In a circle with center O, central angle AOB has a measure of 5π/4 radians. The area of the sector formed by central angle AOB is what fraction of the area of the circle?Correct answer is '.625'. Can you explain this answer?
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