In a circle with radius $50 \, cm$,the area of the sector formed by a $20 \, cm$ long arc is $\ldots \ldots \ldots cm^2$.
- A$1000$
- B$500$
- C$250$
- D$750$
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The diagram below is formed by three semicircles. If $OA = OB = 70\, cm,$ find the area of the figure formed (in $cm^2$).
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View SolutionArea of a sector of central angle $200^{\circ}$ of a circle is $770 \, cm^{2}$. Find the length of the corresponding arc of this sector. (in $cm$)
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View SolutionIs it true that the distance travelled by a circular wheel of diameter $d \text{ cm}$ in one revolution is $2 \pi d \text{ cm}$? Why?
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View SolutionWith respect to the given diagram,which of the following correctly matches the information in Part $I$ and Part $II$?
Part $I$ Part $II$ $1. \overline{OA} \cup \overline{OB} \cup \widehat{APB}$ $a. \text{Major sector}$ $2. \overline{AB} \cup \widehat{AQB}$ $b. \text{Minor segment}$ $3. \overline{AB} \cup \widehat{APB}$ $c. \text{Minor sector}$ $4. \overline{OA} \cup \overline{OB} \cup \widehat{AQB}$ $d. \text{Major segment}$
| Part $I$ | Part $II$ |
|---|---|
| $1. \overline{OA} \cup \overline{OB} \cup \widehat{APB}$ | $a. \text{Major sector}$ |
| $2. \overline{AB} \cup \widehat{AQB}$ | $b. \text{Minor segment}$ |
| $3. \overline{AB} \cup \widehat{APB}$ | $c. \text{Minor sector}$ |
| $4. \overline{OA} \cup \overline{OB} \cup \widehat{AQB}$ | $d. \text{Major segment}$ |
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View SolutionCircumferences of two circles are equal. Is it necessary that their areas be equal? Why?
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