Advertisements
Advertisements
Question
Side of square ABCD is 7 cm. With D as the centre and DA as radius, arc AXC is drawn.Find the area of the shaded region with the help of the following flow chart .
Solution
Area of square ABCD = side2
= 72
= 49 cm2
Sector D-AXC =` θ/360 `× πr2
= `90/360 × 22/7 × 7^2`
= `1/4 × 22/7 × 7 × 7`
= `154/4`
= `38.5 cm^2`
∴ Area of shaded portion = 49 - 38.5
= `10.5 cm^2`
APPEARS IN
RELATED QUESTIONS
In the following figure, point ‘A’ is the centre of the circle. Line MN is tangent at point M. If AN = 10 cm and MN = 5 cm, determine radius of the circle.
Radius of circular base of an ear of corn is 6.6 cm and its length is
11.2 cm. If on an average 1 sqcm area contains 2 corn kernels, find the
total number of kernels on a corn.
Height of a cylindrical barrel is 50 cm and radius of its base is 20 cm. Anurag started to fill the barrel with water, when it was empty, by a cylindrical mug. The diameter and height of the mug was 10 cm and 15cm respectively. How many minium number of mugs will be required for the barrel to overflow?
There is a hemispherical bowl. A cone is to be made such that, if it is filled with water twice and the water is poured in the bowl, it will be filled just completely. State how will you decide the radius and perpendicular height of the cone.
In the figure, line l touches the circle with center O at point P. Q is the midpoint of radius OP. RS is a chord through Q such that chords RS || line l. If RS = 12, find the radius of the circle.
In the given figure, seg AB is a diameter of a circle with centre C. Line PQ is a tangent, which touches the circle at point T. seg AP ⊥ line PQ and seg BQ ⊥ line PQ. Prove that, seg CP ≅ seg CQ.
Draw the tangent at any point M on the circle with centre O and radius 2.9 cm.
Draw a tangent at any point ‘M’ on the circle of radius 3.3 cm and centre ‘O’.
In the adjoining figure the radius of a circle with centre C is 6 cm, line AB is a tangent at A. What is the measure of ∠CAB? Why?
In the adjoining figure, circle with center D touches the sides of ∠ACB at A and B. If ∠ACB = 52°, find measure of ∠ADB.
In the adjoining figure, the line MN touches the circle with center A at point M. If AN = 13 and MN = 5, then find the radius of the circle?
AP is a tangent at A drawn to the circle with centre O from an external point P. OP = 12 cm and ∠OPA = 30°, then the radius of a circle is ______.
Draw a circle with centre O having radius 3 cm. Draw tangent segments PA and PB through the point P outside the circle such that ∠APB = 70°.
