Points B and C lie on a circle with center O and radius r = 5 units. If the length of BCwn is 10.91 units, what is m∠BOC in radi
2 answers:
Answer:
m∠BOC is 2.182 radian.
Step-by-step explanation:
Given,
Points B and C lie on the circle that having the radius 5 units and center O,
Such that, Arc BC = 10.91 units,
We know that,
The arc length is,
Where, r is the radius and ( in radians ) is the central angle made by the arc,
Here, r = 5 units, S = 10.91 units,
By substituting the values,
Hence, m∠BOC = 2.182 radian.
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Answer:
acute: 7, 9
right: 8, 10
obtuse: 5, 6
Step-by-step explanation:
When you have a number of identical calculations to do, it is convenient to do them in a spreadsheet. You only need to enter the formula once and copy it as many times as needed.
The attachment shows the "sum of squares" calculation and comparison to the square of the longest side. When the sum is too small, the longest side is longer than needed for a right angle, so the triangle is obtuse. When the sum is too great, the longest side is too short for a right angle, so the triangle is acute.
We have skipped the tedious arithmetic and shown the results in the attached table.
