Question

Prakash went to a park in his colony and sat on a bench. The park is circular in shape. There is a pond in the park which touches the centre of the park. A rope ST is tied on the circumference of the park to separate the shallow part from the deep part of the pond. The pond is deep near the circular edge. The radius of the circular park is 420 m and the pond covers the th part of the park. The rest of the circular park is covered 1 with green grass. 41. पार्क का केंद्रीय कोण है : The central angle of the pond is : (d) 60° (c) 90° (a) 36 (b) 30​

Answer 1

tell me the answer fast my preboard exam will include such questions

Answer 2

Given:

Prakash went to a park in his colony and sat on a bench. The park is circular in shape. There is a pond in the park which touches the centre of the park. A rope ST is tied on the circumference of the park to separate the shallow part from the deep part of the pond. The pond is deep near the circular edge. The radius of the circular park is 420 m and the pond covers the 1/6th part of the park. The rest of the circular park is covered 1 with green grass.

To Find:

The central angle of the pond is :

(a) 36

(b) 30​

(c) 90°

(d) 60°

Solution:

It is given that a pond is touching the centre of the park which is circular in shape, lets first draw a diagram to visualize how the question is going

Now it is said that a rope ST is tied at the circumference of the circle to separate the shallow part from the deep part then we can draw a chord ST on the circle and draw S and T with the centre of the circle which will form a shape of a sector which is the shape of the pond

Now it is given that the pond is only covering 1/6th part of the part and we need to find the central angle of the pond which can be easily be found as

$\angle =\frac{360}{6}\\=60^{\circ}$

Hence, the correct option will be (d).