Question

III Answer the following (3 x 3m = 9m) 15. Draw a circle with the radios 5.5cm. From a point scm away from its center, construct a pair of tangents to the circle and measure their lengths. 16. A car has two wipers which do not overlap. Each wiper has a blad of length 25cm sweeping through an angle 1150. Find the total Area cleaned at each sweep of the blades ​

Answer 1

1) Draw a circle of radius 5 cm.

2) Draw horizontal radius OQ.

3) Draw angle 120° from point O. Let the ray of angle intersect the circle at point R.

4) Now draw 90° from point Q.

5) Draw 90° from point R.

6) Where the two arcs intersect, mark it as point P.

Therefore, PQ and PR are the tangents at an angle of 60°

Answer 2

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15}

1) Draw a circle of radius 5 cm.

2) Draw horizontal radius OQ.

3) Draw angle 120° from point O. Let the ray of angle intersect the circle at point R.

4) Now draw 90° from point Q.

5) Draw 90° from point R.

6) Where the two arcs intersect, mark it as point P.

Therefore, PQ and PR are the tangents at an angle of 60°

16}

Total area cleaned by 2 wipers

=2× area cleaned by 1 wiper

=2× area of sector with 115°

=2× 360×πr²

=2× 115°/360°× 22/7× 25²

Therefore area cleaned by wipers = 158125/126cm² =1254.96