1.If an arc 70mm long subtends an angle of pi over 4 radians at the centre what is the radius of the circle?
2.A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
Please see the attached Word document for the solutions to these exercises.
1. If an arc 70mm long subtends an angle of pi over 4 radians at the centre what is the radius of the circle?
This problem is simple if you use the formula for finding the arc length given the angle and the radius. If an arc of length s on a circle of radius r subtends an angle , measured in radians, then:
...
Solution Summary
The solution finds the radius of a circle and lengths of arcs. The circumferences divided are given.
...arc EDA? 5. If I had an imaginary line from M to H, with a length of 15, and told you that line segment HI had a length of 9, what would the radius of circle M ...
... ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle? 13. ...
... 12.) Find the length of the arc on a circle of radius r = 5 yards intercepted by a central angle ѳ = 70° 13.) Classify the angle as acute, right, obtuse ...
... 9. A wheel of radius one foot is placed so that its center is at the ... of land is bounded by a 140-degree circular arc and two 80-foot radii of that circle. ...
... This post embodies arcs, sections, and chords of circles. AB = 6.14 in. ... AC = radius of circle A = 6 inches AD = CD = radius of circle B = 6.97 inches. ...
... Construction steps: 1. Draw a line segment AB equal to the length of the given side. ... 4. With R as centre and radius equal to the incircle, draw a circle. ...
... Line segments become great circle arcs. If the sphere has radius R, then all its great circles too will have the radius R; so the length of an arc is exactly R ...
... As dl = Rdθ [Arc/Radius = Angle subtended by the arc (in ... we consider the symmetrically opposite arc of length dl, it ... 0 and θ = 90O [ie quarter circle as the ...
... is exactly divisible by the above defined radii into 0.375 ... Since you can rotate a circle and start wherever, this ... Since you know the radius (due to the given ...
... area) + area of the curved surface = 2(272.71) + (length of the arc x 50 ... An oil drum has a diameter of 0.85m and a length of 1.5m. A ... The circle radius is 25mm. ...
