On a plan with a scale of 1: 1000, a circular pool is shown. Find the radius and area
| January 16, 2021 | education
On a plan with a scale of 1: 1000, a circular pool is shown. Find the radius and area of the pool base if the radius of its image on the plan is 1.5 cm.
1. First, determine the radius of the pool on the ground:
1.5 * 1000 = 1500 (cm).
2. Let’s translate the value into meters (1 m = 100 cm):
1500 cm = 1500/100 = 15 m.
3. The formula for the area of a circle S = π * R ^ 2. Let’s calculate “S” at π = 3.14:
S = 3.14 * 15 ^ 2 = 3.14 * 225 = 706.5 (m2).
Answer: the radius of the pool base is 15 m, the base area is 706.5 m2.
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