Mathematics
Mathematics, 17.07.2019 22:20, clmorcutt420

What is the arc length if the radius of the circle is 15 and the angle og the sector id 90 degrees

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Mathematics, 30.07.2019 17:00, moss4951
Which explanation justifies how the area of a sector of a circle is derived? a. the area of a sector is part of an area of the entire circle. determine the fraction of the circle that the sector represents and multiply it by the area of the circle. b. to find the area of a sector, divide the angle by the total amount of degrees in a triangle then multiply it by the area of the circle. c. the area of a sector can be found by using the formula for the area of circle multiplied by how many angles are in the circle. d. to derive the area of a sector, make a right triangle with the right angle located at the center of the circle. the angle of the triangle divided by the angles in a circle is 90/360 . multiply the fraction by the area of the circle and then subtract the radius squared.
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Mathematics, 29.08.2019 06:30, bri2576
given two central angles in any two circles, the ratio of the arc length to the radius of each corresponding circle is equal if and only if each central angle is equal. that is, given central angle θ1 degrees with arc length s1 in a circle of radius r1 and central angle θ2 degrees with arc length s2 in a circle of radius r2, then s1/r1=s2/r2 if and only if θ1 = θ2. prove the above theorem using the fact that the ratio of an arc length over the circumference of a circle is the same as the ratio of its central angle (in degrees) over 360 degrees. hint: first write the above proportion for each circle. then apply it to s1/r1=s2/r2 and conclude that θ1 = θ2.
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Mathematics, 14.10.2019 07:50, tastyspeaks
Given two central angles in any two circles, the ratio of the arc length to the radius of each corresponding circle is equal if and only if each central angle is equal. that is, given central angle θ1 degrees with arc length s1 in a circle of radius r1 and central angle θ2 degrees with arc length s2 in a circle of radius r2, then s1/r1=s2/r2 if and only if θ1 = θ2. prove the above theorem using the fact that the ratio of an arc length over the circumference of a circle is the same as the ratio of its central angle (in degrees) over 360 degrees. hint: first write the above proportion for each circle. then apply it to s1/r1=s2/r2 and conclude that θ1 = θ2.
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