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Q.

If the diameter of a semi-circular protractor is https://lh6.googleusercontent.com/7Ub86NwQaSWu8I3j_3AHsfF8EZBeR_8U96_klmiF5WkbC9_tQS-HDK1tUrB6xM4Z6VP_3aQw3t8nwSYlVLuWqTNdTjhKCXUjkjmFU0kcqt_vnVbyxO8hym1ZyndiKRdX9bAm5FBOzDwZ-mpGMx_nX2s then find its perimeter.


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a

 https://lh4.googleusercontent.com/RqCiR5mhSu1T1C67maslOPVzWyreXu6_AX0ITzi9mbFSx26N5tNrYFIVl7J0bh2UW6b29IysJrrVgWhGPYFZIYlxsbmGXOiEursPaQ4YbPsUlelLpihLufgew_ydq8TX_mtpxlXo_UByGhA7XT4hhjY

b

 https://lh4.googleusercontent.com/oOdHGKWA2LfYeXQCR3b1eq_5O_ESy8Ptu6N_uMt_SXXhmJa_BuJphZAeYgwga7eFEHD7UQKITZX7zwX_IMc1hAEJ6rHTJgy-2bAhCt0AxW2IE3CNo-zpduADWvJW9Fb_ccU0-3sBoPw1-ywUKOKfUUI

c

 https://lh6.googleusercontent.com/Zl-SRs4xntXwwGgXDKopBWAh-RwlLDfNYlei0hB2xWY6f-GBA2Np6VH1_EqrrekRLGL75qd4D1iKmdODCvbGsSfzg_WGAkyYXN4jDOh39z3Un4OmgHgoYBqhF2Bij4IyCrAXkdeNHWHSvSZMc4ETfs0

d

 https://lh4.googleusercontent.com/yVNwAjvS6-8rfbZcS99pKaTX6dcNI2Y07vhonPsaIlvQ5LpaVhr9Y0m_Kg1tv5U2hO_1_rrpYoNPob7hhOSmBVbrbsdRXTLcdQ2hG31rjYc-ycaFwICffoFERaP29rbn9a9f_cDdZ-3bOa3ePqWN6tc

answer is A.

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Detailed Solution

Concept:  We are given the diameter of the protractor (semi-circle) . We have to find the perimeter of the protractor. Apply the formula, https://lh5.googleusercontent.com/eaKnPxel5UvoYk5IK2GqV6iNHAwWJF7fP0WpBu3bAej6WY_XYshoDt4L0ujExcVaHGHu5wM1Sk6mMu19gSv7Ld6e8ZExPF3LltDSZGLHb_BkNYE2OZ822F-cmYRckoS6zz6szNIqs6AmxpiHp0QrHrQ. Here, radius (https://lh4.googleusercontent.com/UibyhJ04GZnTOrbiukx1OUH12BM5PK9LzDgrhqFBWqMNDn-4DgYaApPuQcfgCK5V9S16IVXYhgHvMQSjFI_xMk6SeGAMeyUVFnCdU3R7puP0zJUdicAwM93XPxPXdcUprIuwk2nGHN4IQ-dRh9UuhoQ) will be the half of the diameter.
Given that,
Diameter of the protractor https://lh6.googleusercontent.com/WVoeka8JyjJFGEF5pp9W3yBCuwx_x0JTOQ8Apn9XqcAGSMW5tcWneYbd0J6FaysSoEwPiZXg5pZXnmXgH1kjJkSwI_XcVyKuG2KL71sgVE463LqO0ycZaxP8Quq05rBMiLNKn517c4H7z0qqUlZNRu0As we know that, radius is the half of the diameter of circle or semi- circle
Therefore, Radius of the circle https://lh5.googleusercontent.com/DtLr-NieQyesTumY8Kmmh9FNOaB2bbGkX7IvJU57BThfwDGCnlqliL7Hid-mkrN2keNk0asjucKoJZT54HuSqTdUXmurL8sbooUso1EPwmkEyvgQMZpwI8q6pvMtBV5GXSPRd6oaGIgXNWKcnLN7W8ENow, using https://lh5.googleusercontent.com/eaKnPxel5UvoYk5IK2GqV6iNHAwWJF7fP0WpBu3bAej6WY_XYshoDt4L0ujExcVaHGHu5wM1Sk6mMu19gSv7Ld6e8ZExPF3LltDSZGLHb_BkNYE2OZ822F-cmYRckoS6zz6szNIqs6AmxpiHp0QrHrQhttps://lh6.googleusercontent.com/OEZhfWIgkD7OCUopHhAiN1ErDdUrqFYd8S6eUu4mofkts6Idi6wile2KKurePzzqxDnLo0sUsjl9PuhH6iwGiy8QZW76r9j8cXX0wdZeFwTTMQWZ8Io1DCdJ8MhwBaXdH-UnWtGDIeKzbt2Ru9rmvB0https://lh3.googleusercontent.com/YJQ51a-KHURVV09Ym1tDKbL3tEUFtBdngEVw1zxK6wOVc2CFKzTXnQVchsDlv6VTAxJDQwqj22KM0pgMas3jx6wIyWUuaOKma0QU7T_8KOOtDMH3_-3nvKuWQ2e_De7lhxUcz4bqj0xo4B2qzdK_sxAhttps://lh5.googleusercontent.com/MfpCRwHDEGKv6Hew7faP2nvnv-ERYLDuHpopXyOr6VPUfk4hc_wC9n8ndG0-3jMZvxCGPBDiiOCoFTLscpMhgTUPRXAQVvNTGZqXvs_MOw1km6BL-QLHa8JiMyq9kS3dky30d5livE9S7hm_8Ck7A5IThe perimeter of the given semi- circular protractor is https://lh4.googleusercontent.com/RqCiR5mhSu1T1C67maslOPVzWyreXu6_AX0ITzi9mbFSx26N5tNrYFIVl7J0bh2UW6b29IysJrrVgWhGPYFZIYlxsbmGXOiEursPaQ4YbPsUlelLpihLufgew_ydq8TX_mtpxlXo_UByGhA7XT4hhjY.
Hence, the correct answer is option 1) 36 cm
 
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If the diameter of a semi-circular protractor is then find its perimeter.