As shown in the diagram,rectangle ABCD is ins | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) $1$. The diagonal of the rectangle $ABCD$ is the diameter of the circle.$2$. Using the Pythagorean theorem in $	riangle ABC$,the diagonal $AC = \

Vedclass · Accepted Answer

$30.5$

Vedclass · Answer

(A) $1$. The diagonal of the rectangle $ABCD$ is the diameter of the circle.$2$. Using the Pythagorean theorem in $	riangle ABC$,the diagonal $AC = \sqrt{AB^2 + BC^2} = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10 \, cm$.$3$. The diameter of the circle is $10 \, cm$,so the radius $r = 5 \, cm$.$4$. The area of the circle is $\pi r^2 = 3.14 	imes 5^2 = 3.14 	imes 25 = 78.5 \, cm^2$.$5$. The area of the rectangle $ABCD$ is $AB 	imes BC = 8 	imes 6 = 48 \, cm^2$.$6$. The area of the shaded region is the area of the circle minus the area of the rectangle: $78.5 - 48 = 30.5 \, cm^2$.

Part $I$	Part $II$
$1. \overline{OA} \cup \overline{OB} \cup \widehat{APB}$	$a. \text{Major sector}$
$2. \overline{AB} \cup \widehat{AQB}$	$b. \text{Minor segment}$
$3. \overline{AB} \cup \widehat{APB}$	$c. \text{Minor sector}$
$4. \overline{OA} \cup \overline{OB} \cup \widehat{AQB}$	$d. \text{Major segment}$

As shown in the diagram,rectangle $ABCD$ is inscribed in a circle. If $AB = 8 \, cm$ and $BC = 6 \, cm$,find the area of the shaded region in the diagram. $(\pi = 3.14)$ (in $cm^2$)

Similar Questions

As shown in the diagram, rectangle $ABCD$ is a metal sheet in which $CD = 20 \, cm$ and $BC = 14 \, cm$. From it, a semicircle with diameter $\overline{BC}$ and a sector with centre $A$ and radius $AD$ is cut off. Find the area of the remaining sheet in $cm^2$.

In covering a distance $s$ metres,a circular wheel of radius $r$ metres makes $\frac{s}{2 \pi r}$ revolutions. Is this statement true? Why?

While calculating the area of a circle,its radius was taken to be $6 \, cm$ instead of $5 \, cm$. The calculated area is $\dots \%$ more than the actual area.

Circumferences of two circles are equal. Is it necessary that their areas be equal? Why?

Vedclass Test Series

Exam Paper Generator

Online Exam Module