Question : What is the central angle corresponding to the sector indicating the expenses incurred on Health?
Option 1: $72^{\circ}$
Option 2: $54^{\circ}$
Option 3: $110^{\circ}$
Option 4: $108^{\circ}$
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Correct Answer: $108^{\circ}$
Solution : Total expense = 15000 + 20000 + 5000 + 2000 + 8000 = 50000 Expense on health = 15000 Sector indicating the expenses incurred on health = $\frac{15000}{50000} × 360^{\circ}$ = $108^{\circ}$ Hence, the correct answer is $108^{\circ}$.
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Question : Study the given chart and answer the following question. What is the central angle corresponding to the production of steel by Kerala?
Option 1: $82^\circ$
Option 2: $65.8^\circ$
Option 3: $75.2^\circ$
Option 4: $72^\circ$
Question : In the given figure, ' $G$ ' is the centre of the circle. Find the $\angle ACB$ when $\angle AGB=132^{\circ}$.
Option 1: $62^{\circ}$
Option 2: $66^{\circ}$
Option 3: $64^{\circ}$
Option 4: $60^{\circ}$
Question : Directions: Read the following pie chart carefully to answer the question. Distribution of sales of Hindi and English newspapers in five localities (A, B, C, D, and E)
English newspapers: Hindi newspapers:
What is the central angle corresponding to the sale of Hindi newspapers in locality E?
Option 1: $80^\circ$
Option 2: $90^\circ$
Option 3: $60^\circ$
Option 4: $108^\circ$
Question : In the given figure, $\mathrm{O}$ is the centre of the circle and $\angle\mathrm{AOB}=130^{\circ}$. Find $\angle\mathrm{APB}$.
Option 1: $110^{\circ}$
Option 2: $115^{\circ}$
Option 3: $100^{\circ}$
Option 4: $95^{\circ}$
Question : In the given figure, the measure of $\angle A$ is:
Option 1: $50^{\circ}$
Option 2: $40^{\circ}$
Option 3: $20^{\circ}$
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