This question is

inspired from

Ex 12.3, 6 - Chapter 12 Class 10 - Areas Related to CircleEx 12.3, 11 - Chapter 12 Class 10 - Areas Related to Circles

##
Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam , your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition , suggests two designs given below.

Observe these carefully

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**
Design I:
**
This design is made with a circle of radius 32cm leaving equilateral triangle ABC in the middle as shown in the given figure.

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**
Design II:
**
This Pookalam is made with 9 circular design each of radius 7cm.

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**
Refer Design I:
**

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**
Question 1
**

## The side of equilateral triangle is

## (a) 12√3 cm (b) 32√3 cm (c) 48 cm (d) 64 cm

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**
Question 2
**

## The altitude of the equilateral triangle is

## (a) 8 cm (b) 12 cm (c) 48 cm (d) 52 cm

##
**
Refer Design II:
**

##
**
Question 3
**

## The area of square is

##
(a) 1264 cm
^{
2
}
(b) 1764 cm
^{
2
}

##
(c) 1830 cm
^{
2
}
(d) 1944 cm
^{
2
}

##
**
Question 4
**

## Area of each circular design is

##
(a) 124 cm
^{
2
}
(b) 132 cm
^{
2
}

##
(c) 144 cm
^{
2
}
(d) 154 cm
^{
2
}

##
**
Question 5
**

## Area of the remaining portion of the square ABCD is

##
(a) 378 cm
^{
2
}
(b) 260 cm
^{
2
}

##
(c) 340 cm
^{
2
}
(d) 278 cm
^{
2
}