Is the following statement true? Give reasons for your answer.
Area of a segment of a circle $=$ area of the corresponding sector - area of the corresponding triangle.
Is the following statement true? Give reasons for your answer.
Area of a segment of a circle $=$ area of the corresponding sector - area of the corresponding triangle.
Statement is not true. It is true only for a minor segment. In the case of a major segment, area of the triangle will have to be added to the corresponding area of the sector.
Similar Questions
As shown in the diagram, $\overline{ OA }$ and $\overline{ OB }$ are two radii of $\odot( O , 21 cm )$ perpendicular to each other. If $OD =10 \,cm ,$ find the area of the shaded region. (in $cm^2$)
As shown in the diagram, $\overline{ OA }$ and $\overline{ OB }$ are two radii of $\odot( O , 21 cm )$ perpendicular to each other. If $OD =10 \,cm ,$ find the area of the shaded region. (in $cm^2$)
The area of a circular playground is $22176\, m ^{2}$. Find the cost of fencing this ground at the rate of $Rs.\, 50$ per $metre.$ (in $Rs.$)
The area of a circular playground is $22176\, m ^{2}$. Find the cost of fencing this ground at the rate of $Rs.\, 50$ per $metre.$ (in $Rs.$)
Will it be true to say that the perimeter of a square circumscribing a circle of radius $a \,cm$ is $8 a \, cm ?$ Give reasons for your answer.
Will it be true to say that the perimeter of a square circumscribing a circle of radius $a \,cm$ is $8 a \, cm ?$ Give reasons for your answer.
With respect to the given diagram, which of the following correctly matches the information in Part $I$ and Part $II$ ?
Part $I$
Part $II$
$1.$ $\overline{ OA } \cup \overline{ OB } \cup \widehat{ APB }$
$a.$ Major sector
$2.$ $\overline{ AB } \cup \widehat{ AQB }$
$b.$ Minor segment
$3.$ $\overline{ AB } \cup \widehat{ APB }$
$c.$ Minor sector
$4.$ $\overline{ OA } \cup \overline{ OB } \cup \widehat{ AQB }$
$d.$ Major segment
With respect to the given diagram, which of the following correctly matches the information in Part $I$ and Part $II$ ?
| Part $I$ | Part $II$ |
| $1.$ $\overline{ OA } \cup \overline{ OB } \cup \widehat{ APB }$ | $a.$ Major sector |
| $2.$ $\overline{ AB } \cup \widehat{ AQB }$ | $b.$ Minor segment |
| $3.$ $\overline{ AB } \cup \widehat{ APB }$ | $c.$ Minor sector |
| $4.$ $\overline{ OA } \cup \overline{ OB } \cup \widehat{ AQB }$ | $d.$ Major segment |
Find the area of a sector of a circle of radius $28 \,cm$ and central angle $45^{\circ} .$ (in $cm ^{2}$)
Find the area of a sector of a circle of radius $28 \,cm$ and central angle $45^{\circ} .$ (in $cm ^{2}$)