Question

Two small circular parks of diameters 16m and 12m are to be replaced by a bigger circular park. What would be the radius of the new park if the new park occupies the same space as the two small parks?

Answer 1

area of repalced new park will be sum of areas of two small park of radius 6 and 8

Answer 2

Answer: The radius of the new park is 10 m.

Step-by-step explanation:

Since we have given that

Diameter of first park = 16 m

Radius would be $\dfrac{16}{2}=8\ m$

Diameter of second park = 12 m

Radius would be $\dfrac{12}{2}=6\ m$

We need to find the radius of new park if it occupies the same space as the two small parks holds.

So, Area of new park = Area of small park with radius 8 m +Area of small park with radius 6 m

$\pi R^2=\pi8^2+\pi6^2\\\\R^2=64+36\\\\R^2=100\\\\R=\sqrt{100}\\\\R=10$

Hence, the radius of the new park is 10 m.

#learn more: https://brainly.in/question/6951025 Answered by SachinKrMb

Topic : Area