Balbharati solutions for Integrated 8 Standard Part 4 [English Medium] Maharashtra State Board chapter 17 - Circle: Chord and Arc [Latest edition]

In a circle with centre P, chord AB is drawn of length 13 cm, seg PQ ⊥ chord AB, then find l(QB).

Radius of a circle with centre O is 25 cm. Find the distance of a chord from the centre if length of the chord is 48 cm.

O is centre of the circle. Find the length of radius, if the chord of length 24 cm is at a distance of 9 cm from the centre of the circle.

C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm.

The diameters PQ and RS of the circle with centre C are perpendicular to each other at C. state, why arc PS and arc SQ are congruent. Write the other arcs which are congruent to arc PS.

In the adjoining figure, O is the centre of the circle whose diameter is MN. Measures of some central angles are given in the figure. hence find the following:

1. m∠ AOB and m∠ COD
2. Show that arc AB ≌ arc CD
3. Show that chord AB ≌ chord CD

Find the circumference of a circle whose area is 1386 cm².

The side of a cube is 4 m. If it is doubled, how many times will be the volume of the new cube, as compared with the original cube?

Pranalee was practising for a 100 m running race. She ran 100 m distance 20 times. The time required, in seconds, for each attempt was as follows:
18, 17, 17, 16, 15, 16, 15, 14, 16, 15, 15, 17, 15, 16, 15, 17, 16, 15, 14, 15 Find the mean of the times taken for running.

Δ DEF and Δ LMN are congruent in the correspondence EDF ↔ LMN. Write the pairs of congruent sides and congruent angles in the correspondence.

The cost of a machine is ₹ 2,50,000. It depreciates at the rate of 4% per annum. Find the cost of the machine after three years.

In `square` ABCD side AB || side DC, seg AE ⊥ seg DC. If l(AB) = 9 cm, l(AE) = 10 cm, A(`square` ABCD) = 115 cm², find l(DC).

The diameter and height of a cylindrical tank is 1.75 m and 3.2 m, respectively. How much is the capacity of tank in litre? `(π = 22/7)`

The length of a chord of a circle of 16.8 cm, radius is 9.1 cm. Find its distance from the centre.

The following tables shows the number of male and female workers under employment gurantee scheme in villages A, B, C and D.

1. Show the information by a sub-divided bar diagram.
2. Show the information by a percentage bar diagram.

Solve the following equation.

17 (x + 4) + 8 (x + 6) = 11 (x + 5) + 15 (x + 3)

Solve the following equation.

`(3y)/2 + (y + 4)/4 = 5 - (y - 2)/4`

Solve the following equation.

5(1 − 2x) = 9(1 − x)

Complete the activity according to the given steps.

1. Draw rhombus ABCD. Draw diagonal AC.
2. Show the congruent parts in the figure by identical marks.
3. State by which test and in which correspondence ΔADC and ΔABC are congruent.
4. Give reason to show ∠DCA ≅ ∠BCA and ∠DAC ≅ ∠BAC
5. State which property of a rhombus is revealed from the above steps.

The shape of a farm is a quadrilateral. Measurements taken of the farm by naming its corners as P, Q, R, S in order are as follows. l(PQ) = 170 m, l(QR) = 250 m, l(RS) = 100 m, l(PS) = 240 m, l(PR) = 260 m. Find the area of the field in hectare (1 hectare = 10,000 sq. m)

In a library, 50% of the total number of books is of Marathi. The books of English are `1/3`rd of Marathi books. The books on mathematics are 25% of the English books. The remaining 560 books are of other subjects. What is the total number of books in the library?

Divide the polynomial (6x³ + 11x² − 10x − 7) by the binomial (2x + 1). Write the quotient and the remainder.