**A circle has a circumference of 70 meters. Find its area. [2 MARKS]**

__Question:__**Options:**

: Formula: 1 Mark

Answer: 1 Mark

Given that

The circumference of a circle = 70 m

Let the radius of thecircle be 'R' m Circumference of given circle is 2πR 2πR = 70 R = 35π Area=π×(35π)2 =389.77m2

The area of the circle is 389.77m2.

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## More Questions on This Topic :

**Given the side length as 10m and base length as 9m and height as 5m of a parallelogram. Find the area and its perimeter. [2 MARKS]**

__Question 2.__: Process : 1 Mark

Result : 1 Mark

Perimeter of the parallelogram = 2( side + base ) = 2(10+9)=38 m Area of the parallelogram= base× (height) = 9× (5)= 45 m2

**Find the area of the circle whose diameter is 10m. Express your answer in cm2. [2 MARKS]**

__Question 3.__: Formula: 1 Mark

Answer: 1 Mark

Given that

The diameter of a circle is 10m.

Area of the circle whose radius is R isπ×(R)2 Radius of the given circle = 102 = 5m Area of the given circle = π×(5)2 = 78.5m2 = 785000cm2

Area of the required circle is785000cm2

**The area of the given square and rectangle are same. If the length of each side of the square is 4m, and the ratio of length and breadth of the rectangle is 2. Find the length of the rectangle?**

__Question 4.__[3 MARKS]

: Steps: 2 Marks

Answer: 1 Mark

Given that

The lengthof each side of a square = 4 m

Area of the given square =(4)2 = 16m2

As per the question,the ratio of length andbreadth of the rectangle is 2 Area of the rectangle is given = 16 m2 The area of the rectangle whose length is L m and breadth is B m is L× Bm

^{2}L = 2B ( as per question) 2B× B= 16 B= 2×√2m So, L = 2(2×√2m) = 4×√2m

So, the length of the rectangle is4×√2m.

**A parallelogram has sides of length 12 cm and 8 cm. If the distance between the 12 cm sides is 5 cm. Find the distance between 8 cm sides. [4 MARKS]**

__Question 5.__: Formula: 1 Mark

Steps: 2 Marks

Answer: 1 Mark

According to the question, if base = 12 cm and height = 5 cm

So, area = base ×height = 12 × 5 = 60 cm2 Now, if base = 8 cm and now we know that area of a parallelogram is60 cm2 So, Distance between 8 cm sides = 608 = 7.5 cm

So, the distance between the 8 cm sides is 7.5 cm.

**A parallelogram of area 48 cm2 is divided into two congruent triangles. If the height of the triangle is 4 cm, find the length of base of the triangle.**

__Question 6.__[4 MARKS]

: Formula: 1 Mark

Steps: 1 Mark

Application: 1 Mark

Answer: 1 Mark

Given that

Area of a parallelogram=48cm2

The parallelogram is divided into two congruent triangles.

Area of parallelogram = 2(Area of triangle)

Area of triangle = 48cm22=24cm2

Area of triangle = 12×base×height

24cm2=12×base×4cm

base = 12 cm So, measureof base of the triangle is 12 cm.

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