# Planimetrics - math word problems

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.

1. Pulley On wheels with a diameter of 40 cm is fixed rope with the load. Calculate how far is load lifted when the wheel turns 7 times?
2. Sidewalk The city park is a circular bed of flowers with a diameter of 8 meters, around it the whole length is 1 meter wide sidewalk . What is the sidewalk area?
3. Colour - billboard Shelftalker has the shape of a parallelogram. Its length is 4.9 m and the corresponding height is 3.5 meters. Calculate how much (kg) paint must purchase to redecoration if 1 kg cover 4 m2 of shelftalker surface.
4. Triangle SSA Construct a triangle ABC if |AB| = 5cm va = 3cm, CAB = 50 °. It is to create the analysis and construction steps.
5. Circle - simple The circumference of a circle is 930 mm. How long in mm is its diameter?
6. Athlete How long length run athlete when the track is circular shape of radius 120 meters and an athlete runs five times in the circuit?
7. Moivre 2 Find the cube roots of 125(cos 288° + i sin 288°). Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
9. Odometer The odometer is driven by rotation of the wheel whose diameter is 65 cm. After how many rotations the wheel turns counter to next kilometer?
10. Two triangles SSA Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14
11. Scalene triangle Solve the triangle: A = 50°, b = 13, c = 6
12. Triangle Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 158 b = 185 c = 201 An airplane leaves an airport and flies to west 120 miles and then 150 miles in the direction S 44.1°W. How far is the plane from the airport (round to the nearest mile)?
14. Find the area Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft
15. Chord 4 I need to calculate the circumference of a circle, I know the chord length c=22 cm and the distance from the center d=29 cm chord to the circle. A ship travels 84 km on a bearing of 17°, and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point, to the nearest kilometer.
17. Star Calculate the content of the shaded part of square with side 28 cm.
18. 22/7 circle Calculate approximately area of a circle with radius 20 cm. When calculating π use 22/7.
19. Two circles Two circles with a radius 4 cm and 3 cm have a center distance 0.5cm. How many common points have these circles?
20. Chord AB What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm?

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