Areas Related to Circles — Class 10 solved problems

42 problems from this chapter, each solved step by step.

A circle of 6 radius cm is inscribed in a square. Find the area of the shaded region.
The area of the shaded region is (144 - 36π) cm².
Date: / / A circle of radius 6 cm is inscribed in a square. Find the area of the shaded region.
The area of the shaded region is (144 - 36π) square cm.
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the minor segment. Use pi = 3.14.
The area of the minor segment is 28.5 cm².
Find the area of a sector of a circle with radius 4 cm and of angle 30 degrees. Also, find the area of the corresponding major sector. Use pi = 3.14.
The area of the minor sector is 4.19 cm² and the area of the major sector is 46.05 cm².
A circle has radius 9 cm. Find its circumference and area. (ref ushj9)
The circumference of the circle is 18π cm and its area is 81π cm².
The radius of a circle is 6 cm. What is its circumference and area?
The circumference of the circle is 12π cm and the area is 36π cm².
A circular track has a radius of 21 m. Find its circumference. (Use pi = 22/7.)
The circumference of the circular track is 132 m.
A circle of radius 6 cm is inscribed in a square of side 12 cm. Find the area of the shaded region.
The area of the shaded region is (144 - 36π) cm².
The radius of a circle is 6 cm what is it circumference and area
The circumference of the circle is 12π cm and the area is 36π cm².
A chord of a circle of radius 14 cm subtends an angle of 60° at the centre. Find the area of the corresponding minor segment of the circle.
The area of the corresponding minor segment of the circle is ((308)/(3) - 49√3) cm².
Find the area of a circle of radius 6 cm inscribed in a square of side 12 cm. (E2E Verification Run: 1784956549356)
The area of the circle is 36π cm².
A circle of radius 6 cm is inscribed in a square. Find the area of the shaded region.
The area of the shaded region is (216)/(7) cm².
A circle of radius 6 cm is inscribed in a Square. Find the area of the shaded region.
The area of the shaded region is (216)/(7) cm ².
A circle of radius 9 cm is inscribed in a square. Find the area of the shaded region. Use π = (22)/(7).
The area of the shaded region is (486)/(7) cm².
A circle of radius 7 cm is inscribed in a square. Find the area of the shaded region. Use π = (22)/(7).
The area of the shaded region is 42 cm².
Area of circle is 32 cm² what were the radius of the circle be?
The radius of the circle is √((32)/(π)) cm or approximately 3.19 cm.
The radius of a circle is 12 cm long what would its circumference be
The circumference of the circle is 24π cm.
Find the circumference of a circle with radius 7 cm. Use pi = 22/7
The circumference of the circle is 44 cm.
Now regarding the shaded region. It definitely looks like a semicircle with PQ as the base. If PQ were a diameter, then O would be the midpoint of PQ. But O is
The area of the shaded region is 12.5π cm².
A circle of radius 7 cm is inscribed in a square. Find the area of the shaded region. Use π = 22/7. length of square = 2 × 8 (circle, square, radius, area, pi)
The area of the shaded region is 42 cm².
Length of square = 2r Area of square = (2r)² = (2 × 7)² = 14² = 196 cm² Area of Circle = π r² = (22)/(7) × 7² = (22 × 7 × 7)/(7) = 22 × 7 = 154 cm² 196 - 154 =
The area of the shaded region is 42 cm².
A circle of radius 7 cm is inscribed in a square. Find the area of the shaded region. Use π = 22/7. (circle, square, radius, area, inscribed)
The area of the shaded region is 42 cm².
A Circle of radius 7 cm is inscribed in a Square. Find area of the shaded region. Use π = 22/7. 196 - 154 = 42 cm² (circle, square, radius, area, inscribed)
The area of the shaded region is 42 cm².
Side of sq = 2r = 14 Area of sq = 14² = 196 cm² Area of circ = π r² = 22 7 × 7 × 7 = 154 cm² Area of shaded region = Area of sq - Area of circle = 196 - 154 = 4
The area of the shaded region is 42 cm².
A circle of radius 7cm is inscribed in a square. Find the area of the shaded region. Use π = (22)/(7). (circle, radius, square, area, pi)
The area of the shaded region is 42 cm².
A circle of radius 7 cm is inscribed in a square. Find the area of the shaded region. Use = (22)/(7). (circle, square, radius, area, pi)
The area of the shaded region is 42 cm².
The diagonals of a rhombus ABCD intersect at O. Taking 'O' as the centre, an arc of radius 6 cm is drawn intersecting OA and OD at E and F respectively. The are
9π cm²
(a) Find the area of the minor and the major sectors of a circle with radius 6 cm, if the angle subtended by the minor arc at the centre is 60^°. (Use π = 3.14)
The area of the corresponding minor segment of the circle is 9.08 cm².
(a) A chord is subtending an angle of 90^° at the centre of a circle of radius 14 cm. Find the area of the corresponding minor segment of the circle. OR (b) Fin
The area of the corresponding minor segment is 56 cm².
If the sector of a circle with diameter 14 cm makes an angle 90^° at the centre, then the perimeter of the sector is:
The perimeter of the sector is 25 cm.
If a bicycle wheel makes 5000 revolutions in moving 11 km, then the diameter of the wheel is:
The diameter of the wheel is 70 cm.
OACB is a quadrant of a circle with centre O and radius 7 cm where ACB is the arc. Then the perimeter of the quadrant is:
25 cm
(a) The perimeter of a sector of a circle of radius 7 cm is 25 cm. Find the area of the sector. OR (b) In a circle of radius 35 cm, an arc subtends an angle of
(a) The area of the sector is 38.5 cm². (b) The area of the minor segment is 350 cm².
A circle of radius 7 cm is inscribed in a square. Find the area of the shaded region. Use π = (22)/(7). (circle, square, radius, area, inscribed)
The area of the shaded region is 42 cm².
आकृति 11.6 में दर्शाए गए वृत्तखंड का क्षेत्रफल ज्ञात कीजिए, यदि वृत्त की त्रिज्या 21 cm है और AOB = 120^° है। [ π = (22)/(7) लीजिए]
वृत्तखंड AYB का क्षेत्रफल 462 - (441√3)/(4) cm² है।
Find the area of a sector of a circle of radius 6 cm with a central angle of 60 degrees.
The area of the sector is 6π cm².
Find the area of the segment AYB shown in Fig. 11.6, if radius of the circle is 21 cm and AOB = 120^°. (Use π = (22)/(7))
The area of the segment AYB is (462 - (441√3)/(4)) cm²
Find the area of the sector of a circle with radius 4 cm and of angle 30^°. Also, find the area of the corresponding major sector (Use π = 3.14).
The area of the minor sector is 4.19 cm² and the area of the major sector is 46.05 cm².
The minute hand of a watch is 1.5 ~cm long. How far does its tip move in 40 minutes? (Use π=3.14).
The tip of the minute hand moves 6.28 cm.
Find the area of a sector of a circle with radius 6 cm and sector angle 60 degrees. Use pi = 3.14.
The area of the sector is 18.84 cm².
Three circles of radius 1 touch each other externally. Find the area of the triangle formed by joining their centers.
The area of the triangle formed by joining their centers is √3 square units.
Find the area of a sector of a circle with radius 6 cm if the angle of the sector is 60 degrees. (Use π ≈ 3.14)
The area of the sector is 18.84 cm².

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