The diagram shows a roundabout at the the junction of four roads (of equal width) the central park is in the form of a circle with centre o and radius 14 m.the curbs bc, de, fg and ha are in the form of arcs that lie on a circle with centre oradius 21 m. the angles subtended by these curbs at o are 60°, 45°, 45°, 90°road 4road 390060°road 1ссroad 2(1) find the total lengths of the curbs;(ii) find the area of he circular road surrounded the central park;35.(iii) cite reasons why traffic roundabout are built.
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Length of curbs = 44 m area of he circular road surrounded the central park = 770 m²
Step-by-step explanation:
Inner Circle = 14 cm
Outer circle = 21 cm
Area of Circular road = π (21² - 14²)
= (22/7) 35 * 7
= 770 m²
the angles subtended by these curbs at o are 60°, 45°, 45°, 90°
Total angles = (60 + 45 + 45 + 90) = 240°
Length of curbs = (240/360) * π * 21
= (2/3)(22/7) * 21
= 44 m
traffic roundabout are built to minimize wait time at traffic signals
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